<div id="pf1" class="pf w0 h0" data-page-no="1"><div class="pc pc1 w0 h0"><img class="bi x0 y0 w1 h1" alt src="https://files.passeidireto.com/5406d6a4-d339-481f-844c-ce33a27df17f/bg1.png" alt="Pré-visualização de imagem de arquivo"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x1 h2 y2 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x2 h2 y3 ff1 fs0 fc0 sc0 ls5 ws8">1 </div><div class="t m0 x0 h2 y4 ff1 fs0 fc1 sc0 ls5 ws0">www.projetomedicina.c<span class="blank _0"></span>om.br<span class="fc0 ws8"> </span></div><div class="t m0 x0 h2 y5 ff2 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x0 h3 y6 ff2 fs1 fc0 sc0 ls5 ws8">Matemética </div><div class="t m0 x0 h3 y7 ff2 fs1 fc0 sc0 ls5 ws8">Geometria Espacia<span class="blank _1"> </span>l - Cone - Área e <span class="blank _1"> </span>Volume - [Fácil<span class="blank _1"> </span>]<span class="fs0"> </span></div><div class="t m0 x0 h2 y8 ff2 fs0 fc0 sc0 ls0 ws8">01 <span class="ls5">- (PUC <span class="blank _0"></span>RS) <span class="ff1"> </span></span></div><div class="t m0 x3 h2 y9 ff1 fs0 fc0 sc0 ls5 ws8">Um <span class="blank _2"> </span>cilindro <span class="blank _2"> </span>circular <span class="blank _3"> </span>reto <span class="blank _3"> </span>e <span class="blank _2"> </span>um <span class="blank _2"> </span>cone <span class="blank _2"> </span>circular <span class="blank _3"> </span>reto <span class="blank _2"> </span>têm <span class="blank _3"> </span>o<span class="blank _1"> </span> <span class="blank _3"> </span>mesmo <span class="blank _3"> </span>raio<span class="blank _1"> </span> <span class="blank _3"> </span>da <span class="blank _2"> </span>base, <span class="blank _2"> </span>medindo <span class="blank _3"> </span>3m, <span class="blank _2"> </span>e <span class="blank _2"> </span>a </div><div class="t m0 x3 h2 ya ff1 fs0 fc0 sc0 ls5 ws8">mesma altura, <span class="blank _0"></span>medindo 4m. A razão entre a<span class="blank _0"></span>s áreas laterais d<span class="blank _0"></span>o cilindro e do con<span class="blank _0"></span>e é </div><div class="t m0 x0 h2 yb ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x3 h2 yc ff1 fs0 fc0 sc0 ls6 ws1">a)<span class="ls5 ws8"> </span></div><div class="c x4 yd w2 h4"><div class="t m1 x5 h5 ye ff3 fs2 fc0 sc0 ls5">4</div><div class="t m1 x5 h5 yf ff3 fs2 fc0 sc0 ls5">3</div></div><div class="t m0 x6 h2 yc ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x3 h2 y10 ff1 fs0 fc0 sc0 ls7 ws2">b)<span class="ls5 ws8"> </span></div><div class="c x4 y11 w2 h4"><div class="t m1 x5 h5 y12 ff3 fs2 fc0 sc0 ls5">5</div><div class="t m1 x5 h5 y13 ff3 fs2 fc0 sc0 ls5">8</div></div><div class="t m0 x6 h2 y10 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x3 h2 y14 ff1 fs0 fc0 sc0 ls8 ws3">c)<span class="ls5 ws8"> </span></div><div class="c x4 y15 w3 h4"><div class="t m2 x5 h5 y12 ff3 fs2 fc0 sc0 ls9">25</div><div class="t m2 x7 h5 y16 ff3 fs2 fc0 sc0 ls5">9</div></div><div class="t m0 x8 h2 y14 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x3 h2 y17 ff1 fs0 fc0 sc0 ls7 ws2">d)<span class="ls5 ws8"> </span></div><div class="c x4 y18 w3 h4"><div class="t m2 x7 h5 y12 ff3 fs2 fc0 sc0 ls5">5</div><div class="t m2 x5 h5 y19 ff3 fs2 fc0 sc0 ls1">8<span class="ff4 ls5"></span></div></div><div class="t m0 x8 h2 y17 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x3 h2 y1a ff1 fs0 fc0 sc0 lsa ws4">e)<span class="ls5 ws8"> </span></div><div class="c x4 y1b w3 h4"><div class="t m2 x5 h5 y12 ff3 fs2 fc0 sc0 ls9">25</div><div class="t m2 x5 h5 y19 ff3 fs2 fc0 sc0 ls1">9<span class="ff4 ls5"></span></div></div><div class="t m0 x8 h2 y1a ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x0 h2 y1c ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x0 h2 y1d ff2 fs0 fc0 sc0 ls0 ws8">02 <span class="ls5">- (UFOP<span class="blank _0"></span> MG) <span class="ff1"> </span></span></div><div class="t m0 x3 h2 y1e ff1 fs0 fc0 sc0 ls5 ws8">Se <span class="blank _1"> </span>o<span class="blank _1"> </span> <span class="blank _1"> </span>raio <span class="blank _4"> </span>da <span class="blank _1"> </span>base <span class="blank _4"> </span>de <span class="blank _1"> </span>um <span class="blank _4"> </span>cone <span class="blank _1"> </span>de <span class="blank _4"> </span>re<span class="blank _0"></span>volução <span class="blank _4"> </span>mede <span class="blank _1"> </span>3cm <span class="blank _4"> </span>e <span class="blank _1"> </span>o <span class="blank _4"> </span>períme<span class="blank _0"></span>tro <span class="blank _4"> </span>de <span class="blank _1"> </span>sua <span class="blank _4"> </span>se<span class="blank _0"></span>ção <span class="blank _4"> </span>meridian<span class="blank _0"></span>a <span class="blank _4"> </span>mede<span class="blank _0"></span> </div><div class="t m0 x3 h6 y1f ff1 fs0 fc0 sc0 ls5 ws8">16cm, então s<span class="blank _0"></span>eu volume, em cm<span class="fs3 ws5 v1">3</span>, mede<span class="blank _0"></span>: </div><div class="t m0 x3 h2 y20 ff1 fs0 fc0 sc0 ls6 ws1">a)<span class="ls2 ws8"> <span class="ls0 ws6">15<span class="ff4 ls5 ws7"></span></span><span class="ls5"> </span></span></div><div class="t m0 x3 h2 y21 ff1 fs0 fc0 sc0 ls7 ws2">b)<span class="ls3 ws8"> <span class="ls0 ws6">10<span class="ff4 ls5 ws7"></span></span><span class="ls5"> </span></span></div><div class="t m0 x3 h2 y22 ff1 fs0 fc0 sc0 ls8 ws3">c)<span class="ls5 ws8"> <span class="blank _5"> </span>9<span class="ff4 ws7"></span> </span></div><div class="t m0 x3 h2 y23 ff1 fs0 fc0 sc0 ls7 ws2">d)<span class="ls3 ws8"> <span class="ls0 ws6">12<span class="ff4 ls5 ws7"></span></span><span class="ls5"> </span></span></div><div class="t m0 x3 h2 y24 ff1 fs0 fc0 sc0 lsa ws4">e)<span class="ls4 ws8"> <span class="ls0 ws6">14<span class="ff4 ls5 ws7"><span class="blank _0"></span><span class="ff1 ws8"> </span></span></span></span></div><div class="t m0 x0 h2 y25 ff1 fs0 fc0 sc0 ls5 ws8"> </div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf2" class="pf w0 h0" data-page-no="2"><div class="pc pc2 w0 h0"><img class="bi x0 y0 w1 h1" alt src="https://files.passeidireto.com/5406d6a4-d339-481f-844c-ce33a27df17f/bg2.png" alt="Pré-visualização de imagem de arquivo"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x1 h2 y2 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x2 h2 y3 ff1 fs0 fc0 sc0 ls5 ws8">2 </div><div class="t m0 x0 h2 y4 ff1 fs0 fc1 sc0 ls5 ws0">www.projetomedicina.c<span class="blank _0"></span>om.br<span class="fc0 ws8"> </span></div><div class="t m0 x0 h2 y5 ff2 fs0 fc0 sc0 ls0 ws8">03 <span class="ls5">- (UFOP<span class="blank _0"></span> MG) <span class="ff1"> </span></span></div><div class="t m0 x3 h2 y26 ff1 fs0 fc0 sc0 ls5 ws8">Um <span class="blank _1"> </span>reservatório <span class="blank _1"> </span>de <span class="blank _1"> </span>água <span class="blank _1"> </span>com<span class="blank _1"> </span> <span class="blank _1"> </span>a <span class="blank _1"> </span>forma <span class="blank _1"> </span>e <span class="blank _4"> </span>um <span class="blank _1"> </span>cone <span class="blank _1"> </span>circular reto<span class="blank _1"> </span> <span class="blank _1"> </span>tem <span class="blank _1"> </span>8m <span class="blank _4"> </span>de altura <span class="blank _1"> </span>e, <span class="blank _4"> </span>sua base, <span class="blank _4"> </span>3m <span class="blank _1"> </span>de </div><div class="t m0 x3 h2 y27 ff1 fs0 fc0 sc0 ls5 ws8">raio. Se a água <span class="blank _0"></span>ocupa 40% da capacidade t<span class="blank _0"></span>otal do reservatóri<span class="blank _0"></span>o, o volume de águ<span class="blank _0"></span>a nele contido é: </div><div class="t m0 x3 h2 y28 ff1 fs0 fc0 sc0 ls6 ws1">a)<span class="ls5 ws8"> <span class="blank _6"> </span>960<span class="ff4 ws7"></span> litros </span></div><div class="t m0 x3 h2 y29 ff1 fs0 fc0 sc0 ls7 ws2">b)<span class="ls5 ws8"> <span class="blank _7"> </span>4.800<span class="ff4 ws7"></span> litros </span></div><div class="t m0 x3 h2 y2a ff1 fs0 fc0 sc0 ls8 ws3">c)<span class="ls5 ws8"> <span class="blank _5"> </span>2.400<span class="ff4 ws7"></span> litros </span></div><div class="t m0 x3 h2 y2b ff1 fs0 fc0 sc0 ls7 ws2">d)<span class="ls5 ws8"> <span class="blank _7"> </span>9.600<span class="ff4 ws7"></span> litros </span></div><div class="t m0 x3 h2 y2c ff1 fs0 fc0 sc0 lsa ws4">e)<span class="ls5 ws8"> <span class="blank _7"> </span>96.000<span class="ff4 ws7"></span> litros </span></div><div class="t m0 x0 h2 y2d ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x0 h2 y2e ff2 fs0 fc0 sc0 ls0 ws8">04 <span class="ls5">- (FUVEST<span class="blank _0"></span> SP) <span class="ff1"> </span></span></div><div class="t m0 x3 h2 y2f ff1 fs0 fc0 sc0 ls5 ws8">Um <span class="blank _4"> </span>cone <span class="blank _4"> </span>circular <span class="blank _1"> </span>reto <span class="blank _4"> </span>está <span class="blank _4"> </span>inscrito <span class="blank _4"> </span>em <span class="blank _4"> </span>um <span class="blank _4"> </span>paral<span class="blank _0"></span>elepípedo <span class="blank _4"> </span>re<span class="blank _0"></span>to <span class="blank _4"> </span>retângulo, <span class="blank _4"> </span>de <span class="blank _4"> </span>b<span class="blank _0"></span>as<span class="blank _1"> </span>e <span class="blank _4"> </span>quadrada, <span class="blank _4"> </span>como </div><div class="t m0 x3 h2 y30 ff1 fs0 fc0 sc0 ls5 ws8">mostra a figura. A raz<span class="blank _0"></span>ão </div><div class="c x9 y31 w2 h7"><div class="t m3 x5 h8 y32 ff5 fs4 fc0 sc0 ls5">a</div><div class="t m3 x5 h8 y33 ff5 fs4 fc0 sc0 ls5">b</div></div><div class="t m0 xa h2 y30 ff1 fs0 fc0 sc0 ls5 ws8"> entre as dimensões do<span class="blank _0"></span> paralelepípedo é </div><div class="c xb y34 w4 h9"><div class="t m4 x5 ha y35 ff5 fs5 fc0 sc0 ls5">2</div><div class="t m4 x5 ha y36 ff5 fs5 fc0 sc0 ls5">3</div></div><div class="t m0 xc h2 y30 ff1 fs0 fc0 sc0 ls5 ws8"> e o volume do <span class="blank _0"></span>cone é <span class="ff4 ws7"></span>. </div><div class="t m0 x3 h2 y37 ff1 fs0 fc0 sc0 ls5 ws8">Então, o compri<span class="blank _0"></span>mento g da geratriz do c<span class="blank _0"></span>one é </div><div class="t m0 x0 h2 y38 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 xd h2 y39 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x3 h2 y3a ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x3 h2 y3b ff1 fs0 fc0 sc0 ls5 ws8">a) </div><div class="c x4 y3c w5 hb"><div class="t m5 xe hc y3d ff5 fs6 fc0 sc0 ls5">5</div></div><div class="t m0 xf h2 y3b ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x3 h2 y3e ff1 fs0 fc0 sc0 ls5 ws8">b) </div><div class="c x4 y3f w5 hb"><div class="t m5 xe hc y3d ff5 fs6 fc0 sc0 ls5">6</div></div><div class="t m0 xf h2 y3e ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x3 h2 y40 ff1 fs0 fc0 sc0 ls8 ws8">c) <span class="ls5"> </span></div><div class="c x4 y41 w6 hd"><div class="t m6 xe he y42 ff5 fs7 fc0 sc0 ls5">7</div></div><div class="t m0 xf h2 y40 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x3 h2 y43 ff1 fs0 fc0 sc0 ls5 ws8">d) </div><div class="c x4 y44 w7 hd"><div class="t m7 xe hf y45 ff5 fs8 fc0 sc0 lsb">10</div></div><div class="t m0 x10 h2 y43 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x3 h2 y46 ff1 fs0 fc0 sc0 lsa ws8">e) <span class="ls5"> </span></div><div class="c x4 y47 w8 h10"><div class="t m8 xe h11 y48 ff5 fs9 fc0 sc0 lsc">11</div></div><div class="t m0 x8 h2 y46 ff1 fs0 fc0 sc0 ls5 ws8"> </div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf3" class="pf w0 h0" data-page-no="3"><div class="pc pc3 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y0 w1 h1" alt src="https://files.passeidireto.com/5406d6a4-d339-481f-844c-ce33a27df17f/bg3.png" alt="Pré-visualização de imagem de arquivo"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x1 h2 y2 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x2 h2 y3 ff1 fs0 fc0 sc0 ls5 ws8">3 </div><div class="t m0 x0 h2 y4 ff1 fs0 fc1 sc0 ls5 ws0">www.projetomedicina.c<span class="blank _0"></span>om.br<span class="fc0 ws8"> </span></div><div class="t m0 x0 h2 y5 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x0 h2 y49 ff2 fs0 fc0 sc0 ls0 ws8">05 <span class="ls5">- (PUC <span class="blank _0"></span>RS) <span class="ff1"> </span></span></div><div class="t m0 x3 h2 y4a ff6 fs0 fc2 sc0 ls5 ws8">O <span class="blank _1"> </span>triângulo <span class="blank _4"> </span>assinalado <span class="blank _1"> </span>na <span class="blank _1"> </span>figura <span class="blank _4"> </span>gera <span class="blank _1"> </span>cones <span class="blank _4"> </span>quand<span class="blank _0"></span>o <span class="blank _4"> </span>gira <span class="blank _1"> </span>em <span class="blank _4"> </span>torno <span class="blank _1"> </span>do <span class="blank _4"> </span>eixo “<span class="blank _1"> </span>x” <span class="blank _1"> </span>ou <span class="blank _4"> </span>do <span class="blank _1"> </span>eixo <span class="blank _4"> </span>“y”, <span class="blank _1"> </span>nessa </div><div class="t m0 x3 h2 y4b ff1 fs0 fc2 sc0 ls5 ws8">ordem. </div><div class="t m0 x3 h2 y4c ff1 fs0 fc2 sc0 ls5 ws8">A razão entre o v<span class="blank _0"></span>olume desses cones é:<span class="fc0"> </span></div><div class="t m0 x11 h2 y4d ff2 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x3 h2 y4e ff1 fs0 fc2 sc0 ls6 ws1">a)<span class="ls5 ws8"> <span class="blank _6"> </span>1 </span></div><div class="t m0 x3 h2 y4f ff1 fs0 fc2 sc0 ls7 ws2">b)<span class="ls5 ws8"> </span></div><div class="c x4 y50 w9 h7"><div class="t m9 x5 h12 y51 ff5 fsa fc0 sc0 ls5">t</div><div class="t m9 x5 h12 y52 ff5 fsa fc0 sc0 ls5">s</div></div><div class="t m0 x12 h2 y4f ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x3 h2 y53 ff1 fs0 fc2 sc0 ls8 ws3">c)<span class="ls5 ws8"> </span></div><div class="c x4 y54 w9 h13"><div class="t ma x5 h14 y55 ff5 fsb fc0 sc0 ls5">s</div><div class="t ma x5 h14 y56 ff5 fsb fc0 sc0 ls5">t</div></div><div class="t m0 x12 h2 y53 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x3 h2 y57 ff1 fs0 fc2 sc0 ls7 ws2">d)<span class="ls5 ws8"> <span class="blank _7"> </span>s </span></div><div class="t m0 x3 h2 y58 ff1 fs0 fc2 sc0 lsa ws4">e)<span class="ls5 ws8"> <span class="blank _7"> </span>t<span class="fc0"> </span></span></div><div class="t m0 x0 h2 y59 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x0 h2 y5a ff2 fs0 fc0 sc0 ls0 ws8">06 <span class="ls5">- (IN<span class="blank _0"></span>TEGRADO RJ) <span class="ff1"> </span></span></div><div class="t m0 x3 h2 y5b ff1 fs0 fc0 sc0 ls5 ws8">Uma <span class="blank"> </span>tulipa <span class="blank _8"> </span>de <span class="blank"> </span>chopp <span class="blank _8"> </span>tem <span class="blank"> </span>a <span class="blank _8"> </span>forma <span class="blank"> </span>cônica, <span class="blank"> </span>como <span class="blank _8"> </span>mostra <span class="blank"> </span>a <span class="blank _8"> </span>figura <span class="blank"> </span>abaixo. <span class="blank"> </span>Sabendo<span class="blank _1"> </span>-se <span class="blank _8"> </span>que <span class="blank"> </span>sua </div><div class="t m0 x3 h2 y5c ff1 fs0 fc0 sc0 ls5 ws8">capacidade é de <span class="blank _0"></span>100 <span class="ff4 ws7"></span> ml, a altura <span class="ff2 ws0">h</span> é igu<span class="blank _0"></span>al a: </div><div class="c x13 y5d wa h15"><div class="t mb x14 h16 y5e ff5 fsc fc3 sc0 ls5 ws9">1<span class="blank"> </span>0<span class="blank"> </span>c<span class="blank"> </span>m</div><div class="t mb x15 h16 y5f ff5 fsc fc3 sc0 ls5">h</div></div><div class="t m0 x16 h2 y60 ff1 fs0 fc0 sc0 ls5 ws8"> </div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf4" class="pf w0 h0" data-page-no="4"><div class="pc pc4 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y0 w1 h1" alt src="https://files.passeidireto.com/5406d6a4-d339-481f-844c-ce33a27df17f/bg4.png" alt="Pré-visualização de imagem de arquivo"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x1 h2 y2 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x2 h2 y3 ff1 fs0 fc0 sc0 ls5 ws8">4 </div><div class="t m0 x0 h2 y4 ff1 fs0 fc1 sc0 ls5 ws0">www.projetomedicina.c<span class="blank _0"></span>om.br<span class="fc0 ws8"> </span></div><div class="t m0 x3 h2 y5 ff1 fs0 fc0 sc0 ls6 ws1">a)<span class="ls2 ws8"> <span class="ls0 ws6">20</span><span class="ls5"> <span class="ls8 ws3">cm</span> </span></span></div><div class="t m0 x3 h2 y49 ff1 fs0 fc0 sc0 ls7 ws2">b)<span class="ls5 ws8"> <span class="blank _7"> </span>16 cm </span></div><div class="t m0 x3 h2 y61 ff1 fs0 fc0 sc0 ls8 ws3">c)<span class="ls5 ws8"> <span class="blank _5"> </span>12 cm </span></div><div class="t m0 x3 h2 y62 ff1 fs0 fc0 sc0 ls7 ws2">d)<span class="ls5 ws8"> <span class="blank _7"> </span>8 cm </span></div><div class="t m0 x3 h2 y63 ff1 fs0 fc0 sc0 lsa ws4">e)<span class="ls5 ws8"> <span class="blank _7"> </span>4 cm </span></div><div class="t m0 x0 h2 y64 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x0 h2 y65 ff2 fs0 fc2 sc0 ls0 ws8">07 <span class="ls5">- (FMTM<span class="blank _0"></span> MG) </span></div><div class="t m0 x3 h2 y66 ff1 fs0 fc2 sc0 ls5 ws8">Um cone circular reto, de altura 12 cm e raio da base 9 cm, possui área total igual à área total de um </div><div class="t m0 x3 h2 y67 ff1 fs0 fc2 sc0 ls5 ws8">prisma <span class="blank _9"> </span>reto <span class="blank _9"> </span>cuja <span class="blank _9"> </span>base <span class="blank _9"> </span>é <span class="blank _9"> </span>u<span class="blank _0"></span>m <span class="blank _9"> </span>losango <span class="blank _9"> </span>de <span class="blank _9"> </span>diagonais <span class="blank _9"> </span>8 <span class="blank _a"> </span>cm <span class="blank _9"> </span>e <span class="blank _a"> </span>6<span class="blank _1"> </span> <span class="blank _9"> </span>cm. <span class="blank _a"> </span>Nas <span class="blank _9"> </span>condições <span class="blank _a"> </span>dadas, <span class="blank _9"> </span>a <span class="blank _9"> </span>altura <span class="blank _9"> </span>do </div><div class="t m0 x3 h2 y68 ff1 fs0 fc2 sc0 ls5 ws8">prisma, em cm, é<span class="blank _0"></span> </div><div class="t m0 x3 h2 y69 ff1 fs0 fc2 sc0 ls6 ws1">a)<span class="ls5 ws8"> <span class="blank _6"> </span>3,6<span class="ff4 ws7"></span><span class="lsd"> <span class="ff6 lse">–</span></span> 2,4. </span></div><div class="t m0 x3 h2 y6a ff1 fs0 fc2 sc0 ls7 ws2">b)<span class="ls5 ws8"> <span class="blank _7"> </span>3,6<span class="ff4 ws7"></span><span class="lsd"> <span class="ff6 lse">–</span></span> 1,2. </span></div><div class="t m0 x3 h2 y6b ff1 fs0 fc2 sc0 ls8 ws3">c)<span class="ls5 ws8"> <span class="blank _5"> </span>10,8<span class="ff4 ws7"></span><span class="lsd"> <span class="ff6 lse">–</span></span> 4,8. </span></div><div class="t m0 x3 h2 y6c ff1 fs0 fc2 sc0 ls7 ws2">d)<span class="ls5 ws8"> <span class="blank _7"> </span>10,8<span class="ff4 ws7"></span><span class="lsd"> <span class="ff6 lse">–</span></span> 2,4. </span></div><div class="t m0 x3 h2 y6d ff1 fs0 fc2 sc0 lsa ws4">e)<span class="ls5 ws8"> <span class="blank _7"> </span>10,8<span class="ff4 ws7"></span><span class="lsd"> <span class="ff6 lse">–</span></span> 1,2.<span class="fc0"> </span></span></div><div class="t m0 x0 h2 y6e ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x0 h2 y6f ff2 fs0 fc0 sc0 ls0 ws8">08 <span class="ls5">- (PUC SP)<span class="blank _0"></span> <span class="ff1 fc3"> </span></span></div><div class="t m0 x3 h2 y70 ff1 fs0 fc3 sc0 ls5 ws8">Considere <span class="blank _4"> </span>o <span class="blank _4"> </span>triângulo <span class="blank _4"> </span>isósceles <span class="blank _4"> </span>ABC, <span class="blank _4"> </span>tal <span class="blank _4"> </span>que </div><div class="c x17 y71 wb h17"><div class="t mc x18 h18 y72 ff5 fsd fc0 sc0 ls10 wsa">cm<span class="blank _b"></span><span class="ls5 ws8"> <span class="blank _c"></span><span class="ls11 wsb">10<span class="blank _c"></span><span class="ls5 ws8"> <span class="blank _d"></span> <span class="blank _e"></span><span class="ls12 wsc">BC<span class="blank _e"></span><span class="ls5 ws8"> <span class="blank _d"></span> <span class="blank _f"></span><span class="ls13 wsd">AB<span class="blank"> </span><span class="ff4 ls5 wse"><span class="blank _10"></span></span></span></span></span></span></span></span></div></div><div class="t m0 x19 h2 y70 ff1 fs0 fc3 sc0 lsf ws8"> <span class="lsa">e </span></div><div class="c x1a y71 wc h17"><div class="t md x1b h18 y72 ff5 fsd fc0 sc0 ls14 wsf">cm<span class="blank _b"></span><span class="ls5 ws8"> <span class="blank _c"></span><span class="ls15 ws10">12<span class="blank _11"></span><span class="ls5 ws8"> <span class="blank _12"></span>C<span class="blank _0"></span>A <span class="blank _13"></span><span class="ff4"></span></span></span></span></div></div><div class="t m0 x1c h2 y70 ff1 fs0 fc3 sc0 ls5 ws8">. <span class="blank _4"> </span>A <span class="blank _4"> </span>rotação<span class="blank _1"> </span> <span class="blank _4"> </span>desse <span class="blank _4"> </span>triângulo </div><div class="t m0 x3 h2 y73 ff1 fs0 fc3 sc0 ls5 ws8">em torno de um<span class="blank _0"></span> eixo que contém <span class="blank _0"></span>o lado </div><div class="c x1d y74 w6 h19"><div class="t me x1e h1a y75 ff5 fse fc0 sc0 ls16">AB</div></div><div class="t m0 x1f h2 y73 ff1 fs0 fc3 sc0 ls5 ws8"> gera um sólido cuj<span class="blank _0"></span>o volume, em centím<span class="blank _0"></span>etros cúbicos, é </div><div class="t m0 x3 h2 y76 ff1 fs0 fc3 sc0 ls5 ws8">a) <span class="blank _14"> </span>256</div><div class="c x8 y77 w9 h1b"><div class="t mf x1e h1c y78 ff4 fsf fc0 sc0 ls5"></div></div><div class="t m0 x20 h2 y76 ff1 fs0 fc3 sc0 ls5 ws8"> </div><div class="t m0 x3 h2 y79 ff1 fs0 fc3 sc0 ls5 ws8">b) <span class="blank _15"> </span>298,6</div><div class="c x20 y7a w9 h1d"><div class="t m10 x1e h1e y7b ff4 fs10 fc0 sc0 ls5"></div></div><div class="t m0 x21 h2 y79 ff1 fs0 fc3 sc0 ls5 ws8"> </div><div class="t m0 x3 h2 y7c ff1 fs0 fc3 sc0 ls8 ws8">c) <span class="ls5"> <span class="blank _16"> </span>307,2</span></div><div class="c x20 y7d w9 h1d"><div class="t m10 x1e h1e y7b ff4 fs10 fc0 sc0 ls5"></div></div><div class="t m0 x21 h2 y7c ff1 fs0 fc3 sc0 ls5 ws8"> </div><div class="t m0 x3 h2 y7e ff1 fs0 fc3 sc0 ls5 ws8">d) <span class="blank _15"> </span>316</div><div class="c x8 y7f w9 h1d"><div class="t m10 x1e h1e y7b ff4 fs10 fc0 sc0 ls5"></div></div><div class="t m0 x20 h2 y7e ff1 fs0 fc3 sc0 ls5 ws8"> </div><div class="t m0 x3 h2 y80 ff1 fs0 fc3 sc0 lsa ws8">e) <span class="ls5"> <span class="blank _15"> </span>3<span class="blank _1"> </span>28,4</span></div><div class="c x20 y81 w9 h1d"><div class="t m10 x1e h1e y7b ff4 fs10 fc0 sc0 ls5"></div></div><div class="t m0 x21 h2 y80 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x0 h2 y82 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x0 h2 y83 ff2 fs0 fc0 sc0 ls0 ws8">09 <span class="ls5">- (UFM<span class="blank _0"></span>G) <span class="ff1"> </span></span></div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf5" class="pf w0 h0" data-page-no="5"><div class="pc pc5 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y0 w1 h1" alt src="https://files.passeidireto.com/5406d6a4-d339-481f-844c-ce33a27df17f/bg5.png" alt="Pré-visualização de imagem de arquivo"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x1 h2 y2 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x2 h2 y3 ff1 fs0 fc0 sc0 ls5 ws8">5 </div><div class="t m0 x0 h2 y4 ff1 fs0 fc1 sc0 ls5 ws0">www.projetomedicina.c<span class="blank _0"></span>om.br<span class="fc0 ws8"> </span></div><div class="t m0 x3 h2 y84 ff1 fs0 fc0 sc0 ls5 ws8">Em <span class="blank _9"> </span>uma <span class="blank _9"> </span>m<span class="blank _1"> </span>ineraçã<span class="blank _0"></span>o, <span class="blank _3"> </span>com <span class="blank _a"> </span>o<span class="blank _1"> </span> <span class="blank _9"> </span>uso <span class="blank _3"> </span>de <span class="blank _9"> </span>esteira <span class="blank _9"> </span>rolante, <span class="blank _a"> </span>é <span class="blank _3"> </span>formado <span class="blank _9"> </span>um <span class="blank _9"> </span>monte <span class="blank _9"> </span>cô<span class="blank _1"> </span>nico <span class="blank _9"> </span>de <span class="blank _9"> </span>minério, <span class="blank _9"> </span>cuja </div><div class="t m0 x3 h2 y85 ff1 fs0 fc0 sc0 ls5 ws8">razão entre o rai<span class="blank _0"></span>o da base e a altura se <span class="blank _0"></span>mantêm constan<span class="blank _0"></span>te.<span class="blank _1"> </span> </div><div class="t m0 x3 h2 y86 ff1 fs0 fc0 sc0 ls5 ws8">Se <span class="blank _4"> </span>a <span class="blank _4"> </span>altura <span class="blank _4"> </span>do <span class="blank _4"> </span>mont<span class="blank _0"></span>e <span class="blank _4"> </span>for <span class="blank _4"> </span>aumentada <span class="blank _4"> </span>em <span class="blank _4"> </span>3<span class="blank _0"></span>0%, <span class="blank _4"> </span>então, <span class="blank _4"> </span>o <span class="blank _4"> </span>aument<span class="blank _0"></span>o <span class="blank _4"> </span>de <span class="blank _4"> </span>volume <span class="blank _4"> </span>do <span class="blank _1"> </span>m<span class="blank _1"> </span>inério <span class="blank _4"> </span>ficará <span class="blank _1"> </span>mais </div><div class="t m0 x3 h2 y87 ff1 fs0 fc0 sc0 ls5 ws8">próximo de: </div><div class="t m0 x3 h2 y88 ff1 fs0 fc0 sc0 ls6 ws1">a)<span class="ls5 ws8"> <span class="blank _6"> </span>60% </span></div><div class="t m0 x3 h2 y89 ff1 fs0 fc0 sc0 ls7 ws2">b)<span class="ls5 ws8"> <span class="blank _7"> </span>150% </span></div><div class="t m0 x3 h2 y8a ff1 fs0 fc0 sc0 ls8 ws3">c)<span class="ls5 ws8"> <span class="blank _5"> </span>90% </span></div><div class="t m0 x3 h2 y8b ff1 fs0 fc0 sc0 ls7 ws2">d)<span class="ls5 ws8"> <span class="blank _7"> </span>120% </span></div><div class="t m0 x0 h2 y8c ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x0 h2 y68 ff2 fs0 fc0 sc0 ls0 ws8">10 <span class="ls5">- (UF<span class="blank _0"></span>AL) </span></div><div class="t m0 x3 h2 y8d ff1 fs0 fc0 sc0 ls5 ws8">Para <span class="blank _a"> </span>a <span class="blank _9"> </span>limpeza <span class="blank _a"> </span>das <span class="blank _a"> </span>dependências <span class="blank _a"> </span>de <span class="blank _a"> </span>um <span class="blank _a"> </span>restaurante, <span class="blank _a"> </span>é <span class="blank _a"> </span>utilizada <span class="blank _a"> </span>a <span class="blank _9"> </span>água <span class="blank _a"> </span>da <span class="blank _a"> </span>chuva. <span class="blank _9"> </span><span class="ff7">A <span class="blank _9"> </span>captação <span class="blank _a"> </span>e <span class="blank _a"> </span>o </span></div><div class="t m0 x3 h2 y8e ff7 fs0 fc0 sc0 ls5 ws8">armazenamento <span class="blank _a"> </span>da <span class="blank _9"> </span>água <span class="blank _3"> </span><span class="ff1">são <span class="blank _9"> </span>feitos <span class="blank _9"> </span>em <span class="blank _9"> </span>uma <span class="blank _9"> </span>cisterna, <span class="blank _9"> </span>que <span class="blank _3"> </span>tem <span class="blank _a"> </span>a <span class="blank _3"> </span>forma <span class="blank _9"> </span>de <span class="blank _9"> </span>um <span class="blank _9"> </span>cone <span class="blank _9"> </span>circular <span class="blank _9"> </span>reto </span></div><div class="t m0 x3 h2 y8f ff1 fs0 fc0 sc0 ls5 ws8">invertido cujas <span class="blank _1"> </span>medidas da <span class="blank _1"> </span>altura <span class="blank _1"> </span>e <span class="blank _1"> </span>da <span class="blank _1"> </span>geratriz são <span class="blank _1"> </span>2 <span class="blank _1"> </span>m <span class="blank _1"> </span>e <span class="blank _1"> </span>2,5 m<span class="blank _1"> </span>, respectivamente. Supondo<span class="blank _1"> </span>-se <span class="blank _1"> </span>que a </div><div class="t m0 x3 h2 y90 ff1 fs0 fc0 sc0 ls5 ws8">cisterna <span class="blank _1"> </span>esteja <span class="blank _4"> </span>completa<span class="blank _0"></span>mente <span class="blank _4"> </span>cheia, <span class="blank _1"> </span>quantos <span class="blank _4"> </span>litr<span class="blank _0"></span>os <span class="blank _4"> </span>devem <span class="blank _1"> </span>ser <span class="blank _4"> </span>retirados <span class="blank _1"> </span>do <span class="blank _4"> </span>seu <span class="blank _1"> </span>interior <span class="blank _4"> </span>para <span class="blank _1"> </span>que <span class="blank _4"> </span>a </div><div class="t m0 x3 h2 y91 ff1 fs0 fc0 sc0 ls5 ws8">distância do nível da<span class="blank _0"></span> água ao vértice s<span class="blank _0"></span>eja igual à metad<span class="blank _0"></span>e da altura da cisterna? </div><div class="t m0 x3 h2 y92 ff1 fs0 fc0 sc0 ls5 ws8">(Use </div><div class="c x22 y93 wd h17"><div class="t m11 x23 h18 y72 ff5 fsd fc0 sc0 ls5 ws11">3<span class="blank _17"></span><span class="ff4 wse"><span class="blank _18"></span></span></div></div><div class="t m0 x20 h2 y92 ff1 fs0 fc0 sc0 ls5 ws8">) </div><div class="t m0 x3 h2 y94 ff1 fs0 fc0 sc0 ls6 ws1">a)<span class="ls5 ws8"> <span class="blank _6"> </span>2 836,5 </span></div><div class="t m0 x3 h2 y95 ff1 fs0 fc0 sc0 ls7 ws2">b)<span class="ls5 ws8"> <span class="blank _7"> </span>3 937,5 </span></div><div class="t m0 x3 h2 y96 ff1 fs0 fc0 sc0 ls8 ws3">c)<span class="ls5 ws8"> <span class="blank _5"> </span>6 849,5 </span></div><div class="t m0 x3 h2 y97 ff1 fs0 fc0 sc0 ls7 ws2">d)<span class="ls5 ws8"> <span class="blank _7"> </span>11 812,5 </span></div><div class="t m0 x3 h2 y98 ff1 fs0 fc0 sc0 lsa ws4">e)<span class="ls5 ws8"> <span class="blank _7"> </span>14 737,5 </span></div><div class="t m0 x0 h2 y99 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x0 h2 y9a ff2 fs0 fc0 sc0 ls0 ws8">11 <span class="ls5">- (UF<span class="blank _0"></span>AM) </span></div><div class="t m0 x3 h2 y9b ff1 fs0 fc0 sc0 ls5 ws8">A <span class="blank _4"> </span>geratriz <span class="blank _a"> </span>de <span class="blank _4"> </span>um <span class="blank _a"> </span>cone <span class="blank _4"> </span>circular <span class="blank _4"> </span>reto <span class="blank _4"> </span>mede </div><div class="c x24 y9c we h1f"><div class="t m12 x25 h20 y9d ff8 fs11 fc0 sc0 ls17 ws12">cm<span class="blank _19"></span><span class="ff5 ls18">10</span></div></div><div class="t m0 x26 h2 y9b ff1 fs0 fc0 sc0 ls5 ws8">e <span class="blank _a"> </span>sua <span class="blank _4"> </span>área <span class="blank _4"> </span>total <span class="blank _a"> </span>é </div><div class="c xb y9c wf h21"><div class="t m13 x1b h22 y9e ff5 fs12 fc0 sc0 ls5">2</div><div class="t m13 x1e h23 y9f ff5 fs13 fc0 sc0 ls19 ws13">75<span class="blank"> </span><span class="ff8 ls1a">cm</span></div><div class="t m14 x27 h24 y9f ff4 fs14 fc0 sc0 ls5"></div></div><div class="t m0 x28 h2 y9b ff1 fs0 fc0 sc0 ls5 ws8">. <span class="blank _4"> </span>Então <span class="blank _a"> </span>o <span class="blank _4"> </span>raio <span class="blank _a"> </span>da <span class="blank _4"> </span>base <span class="blank _a"> </span>é </div><div class="t m0 x3 h2 ya0 ff1 fs0 fc0 sc0 ls5 ws8">igual a: </div><div class="t m0 x3 h2 ya1 ff1 fs0 fc0 sc0 ls6 ws1">a)<span class="ls5 ws8"> </span></div><div class="c x4 ya2 w10 h1f"><div class="t m15 x25 h20 y9d ff8 fs11 fc0 sc0 ls17 ws12">cm<span class="blank _19"></span><span class="ff5 ls18">15</span></div></div><div class="t m0 x20 h2 ya1 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x3 h2 ya3 ff1 fs0 fc0 sc0 ls7 ws2">b)<span class="ls5 ws8"> </span></div><div class="c x4 ya4 wd h1f"><div class="t m16 xe h20 y9d ff8 fs11 fc0 sc0 ls1b ws14">cm<span class="blank _1a"></span><span class="ff5 ls5">5</span></div></div><div class="t m0 x29 h2 ya3 ff1 fs0 fc0 sc0 ls5 ws8"> </div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf6" class="pf w0 h0" data-page-no="6"><div class="pc pc6 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y0 w1 h1" alt src="https://files.passeidireto.com/5406d6a4-d339-481f-844c-ce33a27df17f/bg6.png" alt="Pré-visualização de imagem de arquivo"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x1 h2 y2 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x2 h2 y3 ff1 fs0 fc0 sc0 ls5 ws8">6 </div><div class="t m0 x0 h2 y4 ff1 fs0 fc1 sc0 ls5 ws0">www.projetomedicina.c<span class="blank _0"></span>om.br<span class="fc0 ws8"> </span></div><div class="t m0 x3 h2 y5 ff1 fs0 fc0 sc0 ls8 ws3">c)<span class="ls5 ws8"> </span></div><div class="c x4 ya5 w10 h25"><div class="t m17 x25 h26 ya6 ff8 fs15 fc0 sc0 ls1e ws15">cm<span class="blank _19"></span><span class="ff5 ls1f">10</span></div></div><div class="t m0 x20 h2 y5 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x3 h2 ya7 ff1 fs0 fc0 sc0 ls7 ws2">d)<span class="ls5 ws8"> </span></div><div class="c x4 ya8 wd h1f"><div class="t m16 xe h20 y9d ff8 fs11 fc0 sc0 ls1b ws14">cm<span class="blank _1a"></span><span class="ff5 ls5">6</span></div></div><div class="t m0 x29 h2 ya7 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x3 h2 ya9 ff1 fs0 fc0 sc0 lsa ws4">e)<span class="ls5 ws8"> </span></div><div class="c x4 yaa w11 h1f"><div class="t m18 xe h20 y9d ff8 fs11 fc0 sc0 ls1b ws14">cm<span class="blank _1a"></span><span class="ff5 ls5">8</span></div></div><div class="t m0 x29 h2 ya9 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x0 h2 yab ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x0 h2 yac ff2 fs0 fc0 sc0 ls0 ws8">12 <span class="ls5">- (UF<span class="blank _0"></span>AM) </span></div><div class="t m0 x3 h2 yad ff1 fs0 fc0 sc0 ls5 ws8">Um <span class="blank _2"> </span>tanque <span class="blank _2"> </span>cônico <span class="blank _2"> </span>tem <span class="blank _2"> </span>4m <span class="blank _2"> </span>de <span class="blank _2"> </span>profundidade <span class="blank _2"> </span>e <span class="blank _2"> </span>seu <span class="blank _2"> </span>topo <span class="blank"> </span>circular <span class="blank _3"> </span>tem <span class="blank _2"> </span>6m <span class="blank _2"> </span>de <span class="blank _2"> </span>diâmetro. <span class="blank _2"> </span>Então, <span class="blank _2"> </span>o </div><div class="t m0 x3 h2 yae ff1 fs0 fc0 sc0 ls5 ws8">volume máxim<span class="blank _0"></span>o, em litros, que esse tanq<span class="blank _0"></span>ue pode conter de líqu<span class="blank _0"></span>ido é: </div><div class="t m0 x3 h2 yaf ff1 fs0 fc0 sc0 ls5 ws8">(use </div><div class="c x2a yb0 w2 h27"><div class="t m19 x1e h28 yb1 ff4 fs16 fc0 sc0 ls5"></div></div><div class="t m0 xf h2 yaf ff1 fs0 fc0 sc0 ls5 ws8">= 3,14) </div><div class="t m0 x3 h2 yb2 ff1 fs0 fc0 sc0 ls6 ws1">a)<span class="ls5 ws8"> <span class="blank _6"> </span>24.000 </span></div><div class="t m0 x3 h2 yb3 ff1 fs0 fc0 sc0 ls7 ws2">b)<span class="ls5 ws8"> <span class="blank _7"> </span>12.000 </span></div><div class="t m0 x3 h2 yb4 ff1 fs0 fc0 sc0 ls8 ws3">c)<span class="ls5 ws8"> <span class="blank _5"> </span>37.860 </span></div><div class="t m0 x3 h2 yb5 ff1 fs0 fc0 sc0 ls7 ws2">d)<span class="ls5 ws8"> <span class="blank _7"> </span>14.000 </span></div><div class="t m0 x3 h2 yb6 ff1 fs0 fc0 sc0 lsa ws4">e)<span class="ls5 ws8"> <span class="blank _7"> </span>37.680 </span></div><div class="t m0 x0 h2 yb7 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x0 h2 yb8 ff2 fs0 fc0 sc0 ls0 ws8">13 <span class="ls5">- (UFM<span class="blank _0"></span>G) <span class="ff1"> </span></span></div><div class="t m0 x3 h2 yb9 ff1 fs0 fc0 sc0 ls5 ws8">Um cone é construíd<span class="blank _0"></span>o de forma que: </div><div class="t m0 x3 h2 yba ff6 fs0 fc0 sc0 ls5 ws8">• sua bas<span class="ff1">e é um cír<span class="blank _0"></span>culo inscrito em uma fac<span class="blank _0"></span>e de um cubo de lad<span class="blank _0"></span>o <span class="blank _1"> </span><span class="ff7 ws0">a</span>; e </span></div><div class="t m0 x3 h2 ybb ff6 fs0 fc0 sc0 ls5 ws8">• <span class="blank _9"> </span>seu <span class="blank _9"> </span>vértice <span class="blank _3"> </span>coincide<span class="blank _0"></span> <span class="blank _9"> </span>com <span class="blank _3"> </span>um <span class="blank _9"> </span>dos <span class="blank _9"> </span>vértices <span class="blank _9"> </span>do <span class="blank _9"> </span>cubo <span class="blank _3"> </span>localizado <span class="blank _9"> </span>na <span class="blank _9"> </span>face <span class="blank _9"> </span>oposta <span class="blank _a"> </span>àquela <span class="blank _3"> </span>em <span class="blank _9"> </span>que <span class="blank _9"> </span>se </div><div class="t m0 x4 h2 ybc ff1 fs0 fc0 sc0 ls5 ws8">encontra a sua bas<span class="blank _0"></span>e. </div><div class="t m0 x3 h2 ybd ff1 fs0 fc0 sc0 ls5 ws8">Dessa maneira, <span class="blank _0"></span>o volume do cone é de<span class="blank _0"></span>: </div><div class="t m0 x3 h2 ybe ff1 fs0 fc0 sc0 ls6 ws1">a)<span class="ls5 ws8"> </span></div><div class="c x4 ybf wd h29"><div class="t m1a xe h2a yc0 ff5 fs17 fc0 sc0 ls5">6</div><div class="t m1a xe h2b yc1 ff5 fs17 fc0 sc0 ls1c">a<span class="fs18 ls5 v2">3</span></div><div class="t m1a x1e h2c yc1 ff4 fs17 fc0 sc0 ls5"></div></div><div class="t m0 x29 h2 ybe ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x3 h2 yc2 ff1 fs0 fc0 sc0 ls7 ws2">b)<span class="ls5 ws8"> </span></div><div class="c x4 yc3 wd h2d"><div class="t m1b x7 h2e yc4 ff5 fs19 fc0 sc0 ls20">12</div><div class="t m1b xe h2f yc5 ff5 fs19 fc0 sc0 ls1d">a<span class="fs1a ls5 v2">3</span></div><div class="t m1b x1e h30 yc5 ff4 fs19 fc0 sc0 ls5"></div></div><div class="t m0 x29 h2 yc2 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x3 h2 yc6 ff1 fs0 fc0 sc0 ls8 ws3">c)<span class="ls5 ws8"> </span></div><div class="c x4 yc7 wd h29"><div class="t m1a xe h2a yc0 ff5 fs17 fc0 sc0 ls5">9</div><div class="t m1a xe h2b yc1 ff5 fs17 fc0 sc0 ls1c">a<span class="fs18 ls5 v2">3</span></div><div class="t m1a x1e h2c yc1 ff4 fs17 fc0 sc0 ls5"></div></div><div class="t m0 x29 h2 yc6 ff1 fs0 fc0 sc0 ls5 ws8"> </div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf7" class="pf w0 h0" data-page-no="7"><div class="pc pc7 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y0 w1 h1" alt src="https://files.passeidireto.com/5406d6a4-d339-481f-844c-ce33a27df17f/bg7.png" alt="Pré-visualização de imagem de arquivo"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x1 h2 y2 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x2 h2 y3 ff1 fs0 fc0 sc0 ls5 ws8">7 </div><div class="t m0 x0 h2 y4 ff1 fs0 fc1 sc0 ls5 ws0">www.projetomedicina.c<span class="blank _0"></span>om.br<span class="fc0 ws8"> </span></div><div class="t m0 x3 h2 yc8 ff1 fs0 fc0 sc0 ls7 ws2">d)<span class="ls5 ws8"> </span></div><div class="c x4 yc9 wd h29"><div class="t m1a xe h2a yc0 ff5 fs17 fc0 sc0 ls5">3</div><div class="t m1a xe h2b yc1 ff5 fs17 fc0 sc0 ls1c">a<span class="fs18 ls5 v2">3</span></div><div class="t m1a x1e h2c yc1 ff4 fs17 fc0 sc0 ls5"></div></div><div class="t m0 x29 h2 yc8 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x0 h2 yca ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x0 h2 ycb ff2 fs0 fc0 sc0 ls0 ws8">14 <span class="ls5">- (UF<span class="blank _0"></span>G GO) </span></div><div class="t m0 x3 h2 ycc ff1 fs0 fc0 sc0 ls5 ws8">A <span class="blank _1"> </span>terra <span class="blank _1"> </span>retirada <span class="blank _1"> </span>na <span class="blank _4"> </span>escavação de <span class="blank _4"> </span>uma piscina <span class="blank _1"> </span>sem<span class="blank _1"> </span>icirc<span class="blank _0"></span>ular <span class="blank _1"> </span>de <span class="blank _1"> </span>6 <span class="blank _4"> </span>m <span class="blank _1"> </span>de <span class="blank _1"> </span>raio <span class="blank _1"> </span>e <span class="blank _4"> </span>1,25 <span class="blank _1"> </span>m <span class="blank _1"> </span>de <span class="blank _1"> </span>profundidade </div><div class="t m0 x3 h2 ycd ff1 fs0 fc0 sc0 ls5 ws8">foi <span class="blank _a"> </span>amontoada, <span class="blank _4"> </span>na <span class="blank _a"> </span>forma <span class="blank _a"> </span>de <span class="blank _a"> </span>um <span class="blank _a"> </span>cone <span class="blank _4"> </span>circular <span class="blank _a"> </span>reto, <span class="blank _4"> </span>sobre <span class="blank _a"> </span>uma <span class="blank _9"> </span>superfície <span class="blank _a"> </span>horiz<span class="blank _0"></span>ontal <span class="blank _a"> </span>plana. <span class="blank _a"> </span>Admita </div><div class="t m0 x3 h2 yce ff1 fs0 fc0 sc0 ls5 ws8">que <span class="blank _a"> </span>a <span class="blank _a"> </span>geratriz <span class="blank _4"> </span>do <span class="blank _a"> </span>cone <span class="blank _a"> </span>faça <span class="blank _4"> </span>um <span class="blank _a"> </span>ângulo <span class="blank _a"> </span>de <span class="blank _4"> </span>60º <span class="blank _a"> </span>com <span class="blank _4"> </span>a <span class="blank _a"> </span>v<span class="blank _1"> </span>ertical <span class="blank _4"> </span>e <span class="blank _a"> </span>que <span class="blank _a"> </span>a <span class="blank _a"> </span>terra <span class="blank _a"> </span>ret<span class="blank _0"></span>irada <span class="blank _a"> </span>tenha <span class="blank _4"> </span>volume </div><div class="t m0 x3 h2 ycf ff1 fs0 fc0 sc0 ls5 ws8">20% maior do que<span class="blank _0"></span> o volume da piscina. </div><div class="t m0 x3 h2 yd0 ff1 fs0 fc0 sc0 ls5 ws8">Nessas condições, a<span class="blank _0"></span> altura do cone, em m<span class="blank _0"></span>etros, é de </div><div class="t m0 x3 h2 yd1 ff1 fs0 fc0 sc0 ls6 ws1">a)<span class="ls5 ws8"> <span class="blank _6"> </span>2,0 </span></div><div class="t m0 x3 h2 yd2 ff1 fs0 fc0 sc0 ls7 ws2">b)<span class="ls5 ws8"> <span class="blank _7"> </span>2,8 </span></div><div class="t m0 x3 h2 yd3 ff1 fs0 fc0 sc0 ls8 ws3">c)<span class="ls5 ws8"> <span class="blank _5"> </span>3,0 </span></div><div class="t m0 x3 h2 yd4 ff1 fs0 fc0 sc0 ls7 ws2">d)<span class="ls5 ws8"> <span class="blank _7"> </span>3,8 </span></div><div class="t m0 x3 h2 yd5 ff1 fs0 fc0 sc0 lsa ws4">e)<span class="ls5 ws8"> <span class="blank _7"> </span>4,0 </span></div><div class="t m0 x0 h2 yd6 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x0 h2 yd7 ff2 fs0 fc0 sc0 ls0 ws8">15 <span class="ls5">- (UFRN<span class="blank _0"></span>) </span></div><div class="t m0 x3 h2 yd8 ff1 fs0 fc0 sc0 ls5 ws8">Um <span class="blank _2"> </span>abajur <span class="blank _3"> </span>em <span class="blank _1b"> </span>formato <span class="blank _3"> </span>de <span class="blank _2"> </span>cone <span class="blank _2"> </span>eqüilátero <span class="blank _3"> </span>está <span class="blank _2"> </span>sobre <span class="blank _2"> </span>uma <span class="blank _3"> </span>esc<span class="blank _1"> </span>rivaninha, <span class="blank _3"> </span>de <span class="blank _2"> </span>modo <span class="blank _2"> </span>que, <span class="blank _2"> </span>quando </div><div class="t m0 x3 h2 yd9 ff1 fs0 fc0 sc0 ls5 ws8">aceso, <span class="blank _4"> </span>projeta <span class="blank _1"> </span>sobre <span class="blank _4"> </span>esta <span class="blank _1"> </span>um <span class="blank _4"> </span>círculo <span class="blank _4"> </span>de <span class="blank _4"> </span>luz<span class="blank _0"></span> <span class="blank _4"> </span>(veja <span class="blank _4"> </span>fig<span class="blank _0"></span>ura <span class="blank _4"> </span>abaixo). <span class="blank _4"> </span>Se <span class="blank _1"> </span>a <span class="blank _4"> </span>altura <span class="blank _4"> </span>do <span class="blank _1"> </span>abajur, <span class="blank _4"> </span>em <span class="blank _4"> </span>relaç<span class="blank _0"></span>ão <span class="blank _4"> </span>à </div><div class="t m0 x3 h31 yda ff1 fs0 fc0 sc0 ls5 ws8">mesa, for H = 2<span class="blank _0"></span>7 cm, a área do círculo ilu<span class="blank _0"></span>minado, em <span class="ff7 ls21 ws16">cm<span class="fs3 ls5 ws5 v1">2</span></span>, será igual a </div><div class="t m0 x2b h2 ydb ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 xd h2 ydc ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x3 h2 ydd ff1 fs0 fc0 sc0 ls6 ws1">a)<span class="ls5 ws8"> <span class="blank _6"> </span>243<span class="ff4 ws7"></span>. </span></div><div class="t m0 x3 h2 yde ff1 fs0 fc0 sc0 ls7 ws2">b)<span class="ls5 ws8"> <span class="blank _7"> </span>270<span class="ff4 ws7"></span>. </span></div><div class="t m0 x3 h2 ydf ff1 fs0 fc0 sc0 ls8 ws3">c)<span class="ls5 ws8"> <span class="blank _5"> </span>250<span class="ff4 ws7"></span>. </span></div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf8" class="pf w0 h0" data-page-no="8"><div class="pc pc8 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y0 w1 h1" alt src="https://files.passeidireto.com/5406d6a4-d339-481f-844c-ce33a27df17f/bg8.png" alt="Pré-visualização de imagem de arquivo"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x1 h2 y2 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x2 h2 y3 ff1 fs0 fc0 sc0 ls5 ws8">8 </div><div class="t m0 x0 h2 y4 ff1 fs0 fc1 sc0 ls5 ws0">www.projetomedicina.c<span class="blank _0"></span>om.br<span class="fc0 ws8"> </span></div><div class="t m0 x3 h2 ye0 ff1 fs0 fc0 sc0 ls7 ws2">d)<span class="ls5 ws8"> <span class="blank _7"> </span>225<span class="ff4 ws7"></span>. </span></div><div class="t m0 x0 h2 ye1 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x0 h2 ye2 ff2 fs0 fc0 sc0 ls0 ws8">16 <span class="ls5">- (ESCS <span class="blank _0"></span>DF) <span class="ff1"> </span></span></div><div class="t m0 x3 h2 ye3 ff1 fs0 fc0 sc0 ls5 ws8">Um <span class="blank _2"> </span>cilindro <span class="blank _2"> </span>circular <span class="blank _3"> </span>reto, <span class="blank _2"> </span>de <span class="blank _2"> </span>chumbo, <span class="blank _2"> </span>deve <span class="blank _3"> </span>iso<span class="blank _1"> </span>lar <span class="blank _3"> </span>completamente <span class="blank _3"> </span>uma <span class="blank _2"> </span>substância <span class="blank _3"> </span>radioativa. <span class="blank _2"> </span>As </div><div class="t m0 x3 h2 ye4 ff1 fs0 fc0 sc0 ls5 ws8">medidas <span class="blank _1b"> </span>externas <span class="blank _2"> </span>do <span class="blank"> </span>cilin<span class="blank _0"></span>dro <span class="blank _1b"> </span>são: <span class="blank _1b"> </span>altura, <span class="blank _2"> </span>20 <span class="blank"> </span>cm; <span class="blank _2"> </span>diâmetro <span class="blank _1b"> </span>da <span class="blank _1b"> </span>base, <span class="blank _1b"> </span>16 <span class="blank _1b"> </span>cm. <span class="blank _2"> </span>Se <span class="blank"> </span>a <span class="blank"> </span>espes<span class="blank _0"></span>sura <span class="blank _1b"> </span>das </div><div class="t m0 x3 h2 ye5 ff1 fs0 fc0 sc0 ls5 ws8">paredes <span class="blank _1"> </span>do <span class="blank _4"> </span>cilindro <span class="blank _1"> </span>deve <span class="blank _4"> </span>s<span class="blank _0"></span>er <span class="blank _4"> </span>1cm, <span class="blank _1"> </span>a <span class="blank _4"> </span>qu<span class="blank _0"></span>antidade <span class="blank _1"> </span>de <span class="blank _4"> </span>chumbo <span class="blank _1"> </span>suficiente <span class="blank _4"> </span>para co<span class="blank _1"> </span>nstruir <span class="blank _1"> </span>o <span class="blank _4"> </span>cilindro <span class="blank _1"> </span>com </div><div class="t m0 x3 h2 ye6 ff1 fs0 fc0 sc0 ls5 ws8">um mínimo de sobra,<span class="blank _0"></span> em centímetr<span class="blank _0"></span>os cúbicos, dentre as listadas<span class="blank _0"></span> a seguir, é: </div><div class="t m0 x3 h2 ye7 ff1 fs0 fc4 sc0 ls6 ws1">a)<span class="ls5 ws8"> <span class="blank _6"> </span>1.194 </span></div><div class="t m0 x3 h2 ye8 ff1 fs0 fc4 sc0 ls7 ws2">b)<span class="ls5 ws8"> <span class="blank _7"> </span>1.251 </span></div><div class="t m0 x3 h2 ye9 ff1 fs0 fc4 sc0 ls8 ws3">c)<span class="ls5 ws8"> <span class="blank _5"> </span>1.254 </span></div><div class="t m0 x3 h2 yea ff1 fs0 fc4 sc0 ls7 ws2">d)<span class="ls5 ws8"> <span class="blank _7"> </span>1.408 </span></div><div class="t m0 x3 h2 yeb ff1 fs0 fc4 sc0 lsa ws4">e)<span class="ls5 ws8"> <span class="blank _7"> </span>1.413<span class="fc0"> </span></span></div><div class="t m0 x0 h2 yec ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x0 h2 yed ff2 fs0 fc0 sc0 ls0 ws8">17 <span class="ls5">- (UFL<span class="blank _0"></span>A MG) </span></div><div class="t m0 x3 h2 yee ff1 fs0 fc0 sc0 ls5 ws8">Um <span class="blank _3"> </span>reservat<span class="blank _0"></span>ório <span class="blank _3"> </span>de <span class="blank _3"> </span>forma<span class="blank _0"></span> <span class="blank _3"> </span>cônica <span class="blank _9"> </span>para <span class="blank _3"> </span>armazenamen<span class="blank _0"></span>to <span class="blank _3"> </span>de <span class="blank _3"> </span>água <span class="blank _9"> </span>tem <span class="blank _3"> </span>capacidade <span class="blank _9"> </span>para <span class="blank _9"> </span>atender <span class="blank _3"> </span>às </div><div class="t m0 x3 h2 yef ff1 fs0 fc0 sc0 ls5 ws8">necessidades <span class="blank _4"> </span>de <span class="blank _4"> </span>uma <span class="blank _4"> </span>com<span class="blank _0"></span>unidade <span class="blank _4"> </span>por <span class="blank _4"> </span>81 <span class="blank _4"> </span>dias. <span class="blank _4"> </span>Esse <span class="blank _4"> </span>reservatório <span class="blank _4"> </span>possui<span class="blank _0"></span> <span class="blank _4"> </span>uma <span class="blank _4"> </span>marca <span class="blank _4"> </span>a <span class="blank _4"> </span>uma <span class="blank _4"> </span>altura <span class="blank _a"> </span><span class="ff2 ls23">h </span></div><div class="t m0 x3 h2 yf0 ff1 fs0 fc0 sc0 ls5 ws8">para indicar que a <span class="blank _1"> </span>partir desse <span class="blank _1"> </span>nível a <span class="blank _1"> </span>quantidade de água é suficiente <span class="blank _1"> </span>para <span class="blank _1"> </span>abastecer a comunidade </div><div class="t m0 x3 h2 yf1 ff1 fs0 fc0 sc0 ls5 ws8">por mais 24 dias.<span class="blank _0"></span> O valor de <span class="ff2 ls24">h </span>é </div><div class="t m0 x2b h2 yf2 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x2c h2 ybe ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x3 h2 yf3 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x3 h2 yf4 ff1 fs0 fc0 sc0 ls6 ws1">a)<span class="ls5 ws8"> </span></div><div class="c x4 yf5 w12 h32"><div class="t m1c x2d h33 yf6 ff5 fs1b fc0 sc0 ls5">H</div><div class="t m1c x2e h33 yf7 ff5 fs1b fc0 sc0 ls5">9</div><div class="t m1c x2e h33 yf8 ff5 fs1b fc0 sc0 ls5">2</div><div class="t m1c x1e h33 yf6 ff5 fs1b fc0 sc0 ls22">h<span class="ff4 ls5"></span></div></div><div class="t m0 x2f h2 yf4 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x3 h2 yde ff1 fs0 fc0 sc0 ls7 ws2">b)<span class="ls5 ws8"> </span></div><div class="c x4 yf9 w12 h32"><div class="t m1c x2d h33 yf6 ff5 fs1b fc0 sc0 ls5">H</div><div class="t m1c x2e h33 yf7 ff5 fs1b fc0 sc0 ls5">3</div><div class="t m1c x2e h33 yf8 ff5 fs1b fc0 sc0 ls5">2</div><div class="t m1c x1e h33 yf6 ff5 fs1b fc0 sc0 ls22">h<span class="ff4 ls5"></span></div></div><div class="t m0 x2f h2 yde ff1 fs0 fc0 sc0 ls5 ws8"> </div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf9" class="pf w0 h0" data-page-no="9"><div class="pc pc9 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y0 w1 h1" alt src="https://files.passeidireto.com/5406d6a4-d339-481f-844c-ce33a27df17f/bg9.png" alt="Pré-visualização de imagem de arquivo"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x1 h2 y2 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x2 h2 y3 ff1 fs0 fc0 sc0 ls5 ws8">9 </div><div class="t m0 x0 h2 y4 ff1 fs0 fc1 sc0 ls5 ws0">www.projetomedicina.c<span class="blank _0"></span>om.br<span class="fc0 ws8"> </span></div><div class="t m0 x3 h2 yfa ff1 fs0 fc0 sc0 ls8 ws3">c)<span class="ls5 ws8"> </span></div><div class="c x4 yfb w13 h32"><div class="t m1d x30 h33 yf6 ff5 fs1b fc0 sc0 ls5">H</div><div class="t m1d x2e h33 yf7 ff5 fs1b fc0 sc0 ls29">27</div><div class="t m1d x31 h33 yf8 ff5 fs1b fc0 sc0 ls5">8</div><div class="t m1d x1e h33 yf6 ff5 fs1b fc0 sc0 ls25">h<span class="ff4 ls5"></span></div></div><div class="t m0 x32 h2 yfa ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x3 h2 yfc ff1 fs0 fc0 sc0 ls7 ws2">d)<span class="ls5 ws8"> </span></div><div class="c x4 yfd w14 h13"><div class="t m1e x33 h34 yfe ff5 fs1c fc0 sc0 ls26">3<span class="fs1d ls5 v3">H</span></div><div class="t m1e x23 h35 yff ff5 fs1d fc0 sc0 ls2a">10</div><div class="t m1e x31 h35 y100 ff5 fs1d fc0 sc0 ls5">1</div><div class="t m1e x1e h35 y101 ff5 fs1d fc0 sc0 ls27">h<span class="ff4 ls5"></span></div></div><div class="t m0 x34 h2 yfc ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x3 h2 y102 ff1 fs0 fc0 sc0 lsa ws4">e)<span class="ls5 ws8"> </span></div><div class="c x4 y103 w12 h7"><div class="t m1f x2d h8 y104 ff5 fs4 fc0 sc0 ls5">H</div><div class="t m1f x2e h8 y105 ff5 fs4 fc0 sc0 ls5">2</div><div class="t m1f x2e h8 y33 ff5 fs4 fc0 sc0 ls5">1</div><div class="t m1f x1e h8 y104 ff5 fs4 fc0 sc0 ls28">h<span class="ff4 ls5"></span></div></div><div class="t m0 x2f h2 y102 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x0 h2 y106 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x0 h2 y107 ff2 fs0 fc0 sc0 ls0 ws8">18 <span class="ls5">- (UFP<span class="blank _0"></span>E) </span></div><div class="t m0 x3 h2 y108 ff1 fs0 fc0 sc0 ls5 ws8">Um <span class="blank _2"> </span>recipiente <span class="blank _3"> </span>na <span class="blank _2"> </span>forma <span class="blank _2"> </span>de <span class="blank _2"> </span>um <span class="blank _2"> </span>cone <span class="blank _2"> </span>reto <span class="blank _2"> </span>inver<span class="blank _1"> </span>tido <span class="blank _3"> </span>está <span class="blank _2"> </span>preenchido <span class="blank _2"> </span>com <span class="blank _3"> </span>água <span class="blank _2"> </span>e <span class="blank _2"> </span>óleo, <span class="blank _1b"> </span>em <span class="blank _2"> </span>duas<span class="blank _0"></span> </div><div class="t m0 x3 h2 y109 ff1 fs0 fc0 sc0 ls5 ws8">camadas <span class="blank _1"> </span>que <span class="blank _4"> </span>não <span class="blank _1"> </span>se <span class="blank _1"> </span>misturam. <span class="blank _4"> </span>A <span class="blank _1"> </span>altura, <span class="blank _1"> </span>medida <span class="blank _4"> </span>na <span class="blank _1"> </span>vertical, <span class="blank _1"> </span>da <span class="blank _4"> </span>ca<span class="blank _0"></span>mada <span class="blank _4"> </span>de ó<span class="blank _1"> </span>leo <span class="blank _1"> </span>é <span class="blank _4"> </span>metade <span class="blank _1"> </span>da <span class="blank _1"> </span>altura </div><div class="t m0 x3 h2 y10a ff1 fs0 fc0 sc0 ls5 ws8">da parte de água, c<span class="blank _0"></span>omo ilustrado a seguir.<span class="blank _0"></span> </div><div class="t m0 x35 h2 y10b ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x16 h2 y92 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x3 h2 y10c ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x3 h6 y10d ff1 fs0 fc0 sc0 ls5 ws8">Se o volume do recipi<span class="blank _0"></span>ente é 54cm<span class="fs3 ws5 v1">3</span>, qual o v<span class="blank _0"></span>olume da camada de <span class="blank _0"></span>óleo? </div><div class="t m0 x3 h6 y10e ff1 fs0 fc0 sc0 ls6 ws1">a)<span class="ls5 ws8"> <span class="blank _6"> </span>32cm<span class="fs3 ws5 v1">3</span> </span></div><div class="t m0 x3 h6 y10f ff1 fs0 fc0 sc0 ls7 ws2">b)<span class="ls5 ws8"> <span class="blank _7"> </span>34cm<span class="fs3 ws5 v1">3</span> </span></div><div class="t m0 x3 h6 y110 ff1 fs0 fc0 sc0 ls8 ws3">c)<span class="ls5 ws8"> <span class="blank _5"> </span>36cm<span class="fs3 ws5 v1">3</span> </span></div><div class="t m0 x3 h6 y111 ff1 fs0 fc0 sc0 ls7 ws2">d)<span class="ls5 ws8"> <span class="blank _7"> </span>38cm<span class="fs3 ws5 v1">3</span> </span></div><div class="t m0 x3 h6 y112 ff1 fs0 fc0 sc0 lsa ws4">e)<span class="ls5 ws8"> <span class="blank _7"> </span>40cm<span class="fs3 ws5 v1">3</span> </span></div><div class="t m0 x0 h2 y113 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x0 h2 y114 ff2 fs0 fc2 sc0 ls0 ws8">19 <span class="ls5">- (UNES<span class="blank _0"></span>P SP) </span></div><div class="t m0 x3 h2 y115 ff1 fs0 fc0 sc0 ls5 ws8">Um <span class="blank _1"> </span>paciente <span class="blank _1"> </span>recebe <span class="blank _1"> </span>por <span class="blank _1"> </span>v<span class="blank _1"> </span>ia intravenosa <span class="blank _1"> </span>um <span class="blank _1"> </span>m<span class="blank _1"> </span>edicamento à <span class="blank _4"> </span>taxa constante <span class="blank _1"> </span>de <span class="blank _1"> </span>1,5 <span class="blank _4"> </span>ml<span class="blank _0"></span>/min. <span class="blank _1"> </span>O <span class="blank _1"> </span>frasco </div><div class="t m0 x3 h2 y116 ff1 fs0 fc0 sc0 ls5 ws8">do <span class="blank _4"> </span>medicamento <span class="blank _4"> </span>é <span class="blank _4"> </span>formado <span class="blank _4"> </span>por <span class="blank _4"> </span>uma <span class="blank _4"> </span>parte <span class="blank _4"> </span>cilíndrica <span class="blank _4"> </span>e <span class="blank _4"> </span>uma <span class="blank _4"> </span>parte <span class="blank _4"> </span>cônica, <span class="blank _4"> </span>cujas <span class="blank _4"> </span>medidas <span class="blank _4"> </span>são <span class="blank _4"> </span>dadas </div><div class="t m0 x3 h2 y117 ff1 fs0 fc0 sc0 ls5 ws8">na figura, e esta<span class="blank _0"></span>va cheio quando se iniciou a<span class="blank _0"></span> medicação. </div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pfa" class="pf w0 h0" data-page-no="a"><div class="pc pca w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y0 w1 h1" alt src="https://files.passeidireto.com/5406d6a4-d339-481f-844c-ce33a27df17f/bga.png" alt="Pré-visualização de imagem de arquivo"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x1 h2 y2 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x36 h2 y3 ff1 fs0 fc0 sc0 ls0 ws6">10<span class="ls5 ws8"> </span></div><div class="t m0 x0 h2 y4 ff1 fs0 fc1 sc0 ls5 ws0">www.projetomedicina.c<span class="blank _0"></span>om.br<span class="fc0 ws8"> </span></div><div class="t m0 x2b h2 y5 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x37 h2 y118 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x3 h2 y119 ff1 fs0 fc2 sc0 ls5 ws8"> </div><div class="t m0 x3 h2 y11a ff1 fs0 fc0 sc0 ls5 ws8">Após <span class="blank _1"> </span>4h <span class="blank _1"> </span>de <span class="blank _1"> </span>administração contínua, <span class="blank _1"> </span>a <span class="blank _1"> </span>medicação <span class="blank _1"> </span>foi <span class="blank _1"> </span>interrompida. <span class="blank _1"> </span>Dado <span class="blank _1"> </span>que </div><div class="c x38 y11b wc h10"><div class="t m20 x30 h36 y11c ff5 fs1e fc0 sc0 ls2c ws17">ml<span class="blank _1c"></span><span class="ls5 ws8"> <span class="blank _1d"></span>1<span class="blank _1d"></span> <span class="blank _1c"></span> <span class="blank _1e"></span><span class="ls2d ws18">cm<span class="blank _b"></span><span class="ls5 ws8"> <span class="blank _1d"></span>1<span class="blank _1f"> </span><span class="fs1f ls2b v4">3</span><span class="ff4"></span></span></span></span></div></div><div class="t m0 x39 h2 y11a ff1 fs0 fc0 sc0 ls5 ws8">, <span class="blank _1"> </span>e <span class="blank _1"> </span>usando <span class="blank _1"> </span>a </div><div class="t m0 x3 h2 y11d ff1 fs0 fc0 sc0 ls5 ws8">aproximação </div><div class="c x32 y11e w15 h17"><div class="t m21 x23 h18 y72 ff5 fsd fc0 sc0 ls5 ws11">3<span class="blank _17"></span><span class="ff4 wse"><span class="blank _20"></span></span></div></div><div class="t m0 x3a h2 y11d ff1 fs0 fc0 sc0 ls5 ws8">, <span class="blank _3"> </span>o <span class="blank _3"> </span>volume, <span class="blank _9"> </span>em <span class="blank _3"> </span>ml, <span class="blank _3"> </span>do <span class="blank _3"> </span>medicamento <span class="blank _9"> </span>restante <span class="blank _3"> </span>no <span class="blank _9"> </span>f<span class="blank _1"> </span>rasco <span class="blank _3"> </span>após <span class="blank _3"> </span>a <span class="blank _3"> </span>interrupção <span class="blank _9"> </span>da </div><div class="t m0 x3 h2 y11f ff1 fs0 fc0 sc0 ls5 ws8">medicação é, apr<span class="blank _0"></span>oximadamente, </div><div class="t m0 x3 h2 y120 ff1 fs0 fc0 sc0 ls6 ws1">a)<span class="ls5 ws8"> <span class="blank _6"> </span>l20. </span></div><div class="t m0 x3 h2 y121 ff1 fs0 fc0 sc0 ls7 ws2">b)<span class="ls5 ws8"> <span class="blank _7"> </span>150. </span></div><div class="t m0 x3 h2 y122 ff1 fs0 fc0 sc0 ls8 ws3">c)<span class="ls5 ws8"> <span class="blank _5"> </span>160. </span></div><div class="t m0 x3 h2 y123 ff1 fs0 fc0 sc0 ls7 ws2">d)<span class="ls5 ws8"> <span class="blank _7"> </span>240. </span></div><div class="t m0 x3 h2 y124 ff1 fs0 fc0 sc0 lsa ws4">e)<span class="ls5 ws8"> <span class="blank _7"> </span>360. </span></div><div class="t m0 x0 h2 y125 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x0 h2 y126 ff2 fs0 fc0 sc0 ls0 ws8">20 <span class="ls5">- (UNIM<span class="blank _0"></span>AR SP) </span></div><div class="t m0 x3 h2 y127 ff1 fs0 fc0 sc0 ls5 ws8">A <span class="blank _1"> </span>altura <span class="blank _1"> </span>e <span class="blank _1"> </span>o <span class="blank _4"> </span>raio<span class="blank _0"></span> <span class="blank _1"> </span>da <span class="blank _4"> </span>base de <span class="blank _1"> </span>um <span class="blank _1"> </span>cone <span class="blank _1"> </span>circular <span class="blank _1"> </span>reto <span class="blank _1"> </span>medem 4<span class="blank _1"> </span>cm <span class="blank _1"> </span>e <span class="blank _1"> </span>15cm, <span class="blank _1"> </span>respectivamente. Aumenta<span class="blank _1"> </span>-</div><div class="t m0 x3 h2 y128 ff1 fs0 fc0 sc0 ls5 ws8">se <span class="blank _a"> </span>a <span class="blank _4"> </span>altura <span class="blank _a"> </span>e <span class="blank _a"> </span>di<span class="blank _0"></span>minui-se <span class="blank _a"> </span>o <span class="blank _4"> </span>raio <span class="blank _a"> </span>da <span class="blank _a"> </span>base <span class="blank _4"> </span>desse <span class="blank _a"> </span>cone, <span class="blank _4"> </span>de <span class="blank _a"> </span>uma <span class="blank _4"> </span>mesma <span class="blank _4"> </span>medida <span class="blank _a"> </span>x, </div><div class="c x3b y129 w16 h17"><div class="t m22 x2e h18 y72 ff5 fsd fc0 sc0 ls5 ws19">0<span class="blank _21"></span>x<span class="blank"> </span><span class="ff4"></span></div></div><div class="t m0 x3c h2 y128 ff1 fs0 fc0 sc0 ls5 ws8">, <span class="blank _4"> </span>para <span class="blank _a"> </span>obter-se </div><div class="t m0 x3 h2 y12a ff1 fs0 fc0 sc0 ls5 ws8">outro cone circular re<span class="blank _0"></span>to, de mesmo <span class="blank _0"></span>volume que o original. Determin<span class="blank _0"></span>e x, em cm. </div><div class="t m0 x3 h2 y12b ff1 fs0 fc0 sc0 ls6 ws1">a)<span class="ls5 ws8"> <span class="blank _6"> </span>3 </span></div><div class="t m0 x3 h2 y12c ff1 fs0 fc0 sc0 ls7 ws2">b)<span class="ls5 ws8"> <span class="blank _7"> </span>5 </span></div><div class="t m0 x3 h2 y12d ff1 fs0 fc0 sc0 ls8 ws3">c)<span class="ls5 ws8"> <span class="blank _5"> </span>7 </span></div><div class="t m0 x3 h2 y12e ff1 fs0 fc0 sc0 ls7 ws2">d)<span class="ls5 ws8"> <span class="blank _7"> </span>8 </span></div><div class="t m0 x3 h2 y12f ff1 fs0 fc0 sc0 lsa ws4">e)<span class="ls4 ws8"> <span class="ls0 ws6">10</span><span class="ls5"> </span></span></div><div class="t m0 x0 h2 y130 ff1 fs0 fc0 sc0 ls5 ws8"> </div><div class="t m0 x0 h2 y117 ff2 fs0 fc0 sc0 ls0 ws8">21 <span class="ls5">- (UFMS<span class="blank _0"></span>) </span></div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div>
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