Question

The cylinder has a volume of 12pi cubic inches and a diameter of 4 inches. Find the cylinders radius and height. The cylinders radius is______ inches and it’s height is_____ inches.

Answer 1

The cylinder's radius is 2 inches

and it’s height is 3 inches.

Explanation:

A diameter is two radiuses long, so the cylinder's radius is:

R = 4 in ÷ 2 = 2 in

The volume of cylinder is: V = πR²×H

Therefore:

12π = π×2²×H

12 = 4H

H = 3 in