The volume of a cylinder can be calculated from the relationship V = πr2h. For a volume of 10 mL of the syringe, equivalent to 10 cm3 and a radius ...

The volume of a cylinder can be calculated from the relationship V = πr2h. For a volume of 10 mL of the syringe, equivalent to 10 cm3 and a radius of 1/2 = 0.5 cm, the height can be calculated from 10 = 3 * 0.52 * h → h = 13.333... Thus, the height of the box that will hold the syringe must be approximately 14 cm (since, if the height is smaller, the syringe will not fit in the box). The width and length of the box need to be at least equal to the diameter of the syringe, that is, 1.0 cm.

A) INCORRETA. The student who marks this alternative considers that the height of the box should be the integer closest to 100/0.75 = 13.333 ... > 13 cm. However, the height must be approximated to the nearest larger integer, since otherwise the syringe will not fit in the box.
B) INCORRETA. The student who marks this alternative considers that the width and length of the boxes should be equal to the radius of the syringe, 1/2 = 0.5 cm. However, the length and width of the box must be equal to the diameter of the syringe.
C) CORRETA. The volume of a cylinder can be calculated from the relationship V = πr2h. For a volume of 10 mL of the syringe, equivalent to 10 cm3 and a radius of 1/2 = 0.5 cm, the height can be calculated from 10 = 3 * 0.52 * h → h = 13.333... Thus, the height of the box that will hold the syringe must be approximately 14 cm (since, if the height is smaller, the syringe will not fit in the box). The width and length of the box need to be at least equal to the diameter of the syringe, that is, 1.0 cm.
D) INCORRETA. The student who marks this alternative considers that the width and length of the boxes should be equal to the radius of the syringe, 1/2 = 0.5 cm. However, the length and width of the box must be equal to the diameter of the syringe.
E) INCORRETA. The student who marks this alternative considers that the height of the box should be equal to the volume of 10 cm3 of the syringe. However, the height must be calculated from the formula for the volume of the cylinder.