The cylinder base diameter is 12 m, the generatrix is 4 m. find the volume of the cylinder.

A cylinder is a geometric body formed by rotating a rectangle around one of its sides.

The volume of a cylinder is the product of its base area by its height. Since the base of the cylinder is a circle, the volume formula looks like this:

V = πR ^ 2 H, where:

V is the volume of the cylinder;

R is the radius of the base;

H – height;

π – number ≈ 3.14;

R = D / 2;

R = 12/2 = 6 m.

V = 3.14 * 6 ^ 2 * 4 = 3.14 * 36 * 4 = 452.16 cm3.

Answer: the volume of the cylinder is 452.16 cm3.