Question

A cylinder and a cone have the same volume. The cylinder has radius x and height y. The cone has a radius of 1/2 x. Find the height of the cone in terms of y.

Answer 1

12 y

Explanation:

π. x².y = ⅓. π (½x) ².h

=> eliminate π,

x²y = ⅓. ¼x².h

=> eliminate x²,

y = 1/12 h

h = 12 y

so, height of the cone = 12 y