The volume of the cylinder is 48pi cubic feet. The area of the base is 12pi square feet. what is the height of the cylinder.

Since the base of a cylinder is a circle

so area of base (circle) = 12pi sq. ft.

Pi*r^2=12pi

r^2=12

r=squareroot12

r=2squareroot3

since volume of cylinder=48pi cubicft.

pi*r^2*h=48pi

r^2*h=48

Putting value of r

(2squareroot3) ^3*h=48

4*3*h=48

h=48/4*3

h=4ft.

So height of cylinder is 4ft.