Question

The volume of a right circular cylinder is represented by V = πr ²h

where r is the radius of the base (in feet). What is the radius of a right
circular cylinder when the volume is 144 π cubic feet and the height
is 9 feet?

Answer 1

The radius is 4 feet.

Plug in what you know to the formula you have:

144π = π(r)^2(9)
Divide both sides by pi to get rid of that.
144 = 9(r)^2
Divide both sides by 9
16 = r^2
r = square root of 16 = 4