Find the height of a cylinder if its volume is 36 pi cm in a cube, radius is 3 cm.

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

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

V = Sbas. * N

H = V / Sbasn., Where:

V is the volume of the cylinder;

Sosn. – base area;

H – height.

To do this, you need to find the area of the base of the given cylinder. Since the base is a circle, its area is calculated using the formula for the area of a circle:

Sosn. = πR ^ 2;

Sosn. = π * 3 ^ 2 = 9π.

H = 36π / 9π = 4 cm.

Answer: The height of the cylinder is 4 cm.