Axial section of a square cylinder with a side of 10 cm Find the volume of the cylinder and the area of its lateral surface.

One of the sides of the axial section of the cylinder is equal to the height, the other to the diameter of the base. By condition, the axial section of this cylinder is a square with a side of 10 cm, which means that the base diameter and the height of the cylinder are 10 cm, therefore the base radius is 5 cm.

The lateral surface area of the cylinder is equal to the product of its height and the circumference of the base:

Sside = h * π * d = 10 * 10 * π = 100π ≈ 314.16 cm2.

The volume of the cylinder is equal to the product of the height and the area of the base:

V = h * π * r ^ 2 = 10 * π * 52 = 250π ≈ 785.4 cm3.