The volume of a cylinder is 64pi cubic centimeters. If the radius of the cylinder is 4 cm, what is the height of the cylinder?

h = 4 cm

Step-by-step explanation:

The formula for volume of a cylinder is

V = πr²h where V is the volume, r is the radius, and h is the height.

We are given V = 64π, and r = 4, plug those in and solve for h

64π = π (4²) h

64π = 16πh

(64π) / (16π) = (16πh) / (16π) (divide both sides by 16π)

4 = (16π) / (16π) h

4 = h