height of cylinder in terms of pi

Question

The volume of a cylinder is 162 cubic inches. If the cylinder's diameter is 6 inches, what is the height of the cylinder in terms of pi?

Answer 1

diameter = 6 inches

radius = half the diameter = 6/2 = 3 inches

area of the base of the cylinder = pi(r)^2 = pi(3)^2

Volume of a cylinder = height times area of the base = h(pi)(3)^2 = 9hpi = 162

9hpi = 162

h = 162/9pi =18/pi inches = the cylinder's height in terms of pi

height =18/pi inches

= about 18/3.14159 = about 5.73 inches high= the cylinder's height

Answer 2

162 = (1/3)π(3)²h

Solve for h and answer.