Question

The volume of the largest right circular cone that can be fitted in a cube whose edge is 2r equals to the volume of a hemisphere of radius r.

Options

• True

• False

Answer 1

This statement is True.

Explanation:

Given, edge of cube = 2r, then height of cube becomes h = 2r.

Volume of a cone = `1/3 pir^2h = 1/3 pir^2(2r) = 2/3 pir^3`

Volume of a hemisphere = `2/3 pir^3`

Hence, the volume of a cone is equal to the volume of a hemisphere.