volume of a cylinder

Question

What is the radi measure if a cylinder has a volume of 432pi, and the diameter is equivalent to the height?

I think the equation for cylinder volumes is (Pi)(r*squared*)(height)=volume

I'm just having trouble figuring this out. Thanks for the help.
 

Answer 1

V = pi r^2 h

Since h = D, then h = 2r

V = pi r^2 (2r) = 2pi r^3

432 pi = 2pi r^3 ==>  now divide both sides by 2pi

216 = r^3

6 = r

Hope that helps!