Question

The volume of a cylinder is 576, cubic inches. The radius of the circular base is 4 inches. What is the height of the cylinder?

Answer 1

36 / pi = h

Using 3.14 for pi

h =11.46496815 inches

Using the pi button

h =11.45691559 inches

Explanation:

The volume of a cylinder is given by

V = pi r^2 h

We know the volume and the radius

576 = pi ( 4)^2 h

576 = pi 16 h

Divide each side by 16 pi

576/16 pi = pi 16 h/ 16 pi

36 / pi = h

Using 3.14 for pi

h =11.46496815 inches

Using the pi button

h =11.45691559 inches