A right circular cylinder has radius 6 in. and volume 144π in3 . What is its height?

4in

Explanation:

Given parameters:

Radius of cylinder = 6in

Volume  = 144πin³

Unknown:

Height of the cylinder  = ?

Solution:

The volume of a cylinder is the product of its base area and height;

   Volume of cylinder  = base area x height

The unknown parameter is the height and substitute for the parameters given;

         144π  = π x 6² x h

              144π  = 36πh

  Divide through by 36π and find h;

              h  = 4in