Find the volume of a cylinder whose height is 5 cm and the radius of the base is 3 cm.

A cylinder is a geometric body created by rotating a rectangle around its side.

The volume of a cylinder is equal to the product of the area of its base by the height:

V = Sb. * H, where:

V is the volume of the cylinder;

Sosn. – base area;

H is the height.

Since the base of the cylinder is a circle, its area is calculated using the formula for the area of a circle:

Sosn. = πR ^ 2;

Sosn. = 3.14 * 3 ^ 2 = 3.14 * 9 = 28.26 cm2.

V = 28.26 * 5 = 141.3 cm3.

Answer: the volume of the cylinder is 141.3 cm3.