Question

A right circular cone and a right cylinder have the same radius and the same volume. The ratio of the height of the cone to that of the cylinder is

Options

• 5: 3

• 5: 2

• 1: 3

• 3: 1

Answer 1

3: 1

Explanation:

Cone's R = Cylinder's R

Cone's Volume = Cylinder's volume

Let cone height be h, cylinder's height be H

`1/3pi "r"^2"h" = pi"r"^2"H"`

`"h"/"H" = 3/1`