Question

The volume of a right cylinder is V = πr²h, where r is the radius of the base and h is the height of the cylinder. If the volume of a cylinder is 72π cubic inches and the height of the cylinder is 2 inches, then what is the radius of the cylinder in inches?

Answer 1

6 inches

Explanation:

You want to know the radius of a cylinder with volume 72π in³ and height 2 in.

Volume

The given numbers can be put in the given formula, and the equation solved for r.

V = πr²h

72π in³ = πr²(2 in)

36 in² = r²

r = √(36 in²) = 6 in

The radius of the cylinder is 6 inches.