Volumes

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L 
L 
L 
D 
DB 
A=6L² DB=L 2 
D=L 3 V=L³ 
L1 
D 
DB 
L2 
L3 A=2(L1*L2+L1*L3 
 +L2*L3) 
 
DB= 𝐿1² + 𝐿2² 
D= 𝐿1² + 𝐿2² + 𝐿3² 
V=L1*L2*L3 
LB 
H 
AT = 2AB+AL 
AL= nLB*LB*H 
V=AB*H 
Θ 
“h” 
H 
AL=n*Lb*H 
V=Ab*H 
senΘ=H/h 
H 
R 
AB= πR² 
AL= 2πRH 
AT=2Ab+AL 
V=πR²H 
AL= n*LB*G/2 
LB 
H 
a 
G 
AT= AL+AB 
G²=H²+a² 
Vpirâm.=Vprisma/3 
AL= πRG 
G 
R 
AB= πR² 
AT= AL+AB 
H 
Vcone=Vcil/3 
H; 
Pir. 
gde. 
 h; 
Pir. 
peq. 
G 
g 
LB 
Lb 
g/G=h/H=Lb/LB=K 
Ab/AB=AL peq./AL gde.=K² 
Vpir. peq./Vpir.gde.=K³ 
AL=AB+Ab 
 +n(LB+Lb)*(G-g)/2 
V=Vpir.gde. -Vpir.peq. 
AL= π(RG-rg) 
R 
r 
 h; 
Cone 
Peq. H; 
Cone 
gde. 
G 
g 
g/G=h/H=Rb/RB=K 
Ab/AB=AL peq./AL gde.=K² 
Vcone peq./Vcone gde.=K³ 
AT= AL+AB+Ab 
V=Vcone gde.-Vcone peq. 
R 
A= 4πR² 
V= 4πR³/3 
R