A cylinder and a cone have the same volume. The cylinder has radius x and height y. The cone has radius 3x. Find the height of the cone in terms of y.
Volume(cylinder) = pi · radius2 · height = pi · radius2 · height = pi · x2 · y
Volume(cone) = (1/3) · pi · radius2 · height = (1/3) · pi · (3x)2 · h = 3 · pi · x2 · h
Volume(cylinder) = Volume(cone) ---> pi · x2 · y = 3 · pi · x2 · h ---> h = (1/3) · y
