The side surface of the cylinder is 15. The circumference of the base 7. Find the volume of the cylinder.

The volume of a cylinder can be calculated by the formula

V = П R ^ 2/4 * H, where

П R ^ 2/4 – base area;

H is the height of the cylinder.

Since the lateral surface of the cylinder is 15, that is

15 = 2 П R N,

where П = 3.14 is a constant number “Pi”;

2 П R = 7 – base circumference.

From where, H = 15/7.

At the base R = 7/2 P,

means the base area is

П R ^ 2/4 = П (7/2 П) ^ 2/4 = 49/16П.

So,

V = 49 / 16П * 15/7 = 105 / 16П or approximately 5.57.

Answer: the volume of the cylinder is 105 / 16П or approximately 5.57.