The radii of the bases of a cylinder and a cone are in the ratio `3 : 4` and their heights are in the ratio `2 : 3`. Then, their volumes are in the ratio

Options

A. `9 : 8`
B. `8 : 9`
C. `3 : 4`
D. `4 : 3`

Answer

A

Explanation

Let the radii of the bases of a cylinder and a cone be 3x cm and 4x cm respectively and let their heights be 2y cm and 3y cm respectively. Then,
ratio of the their volumes ` = (pi xx (3x)^(2) xx 2y)/((1)/(3) pi xx (4x)^(2) xx 3y) = (54)/(48) = (9)/(8) = 9 : 8`