Find the volume of the body, obtained by rotating a rectangle with sides of 8 and 10 cm around the larger side.

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

Thus, a side 8 cm long is the radius of the base of the cylinder, and a side 10 cm long is its height.

The volume of a cylinder is equal to the product of its base area by its height. Since the base of the cylinder is a circle, we will use the formula to calculate the volume of the cylinder:

V = πR ^ 2 * H, where:

V is the volume of the cylinder;

R is the radius of the base;

H – height;

V = 3.14 * 8 ^ 2 * 10 = 3.14 * 64 * 10 = 2009.6 cm3.

Answer: the volume of the cylinder is 2009.6 cm3.