cylinder dimensions

Question

what is the height of a cylinder if the radius is 6 inches and the volume is 144 pie r^3

Answer 1

V= 144 pi(r)^2= hpi(r)^2 = hpi(6)^2 = h(36pi)

144(36)pi = h(36)pi

h= 144 inches

That assumes the problem should read "144pi(r)^2" not with r^3

The volume of a cylinder is the area of the top x the height = pi(r)^2 x h

But if you really intended for V=144pi(r)^3 then V= 144pi(6)^3 = 864pi

still volume of a cylinder = pi(r)^2 x h so 36pi h = 864pi, then

pi cancels leaving 36h = 864

h= 864/36 = 24 inches