Given: Radius of hemisphere = r

To find: The volume of the hemisphere.

Formula Used: Volume of cone =

Explanation:

As we know the radius of the base of hemisphere = height of hemisphere = r

Also, in this figure:

radius of cone = radius of hemisphere = r

⇒ Height of cone = radius of hemisphere = r

Using the formula given above,

The volume of the cone =

Here h = r

⇒ The volume of the cone =

Hence, the maximum volume of cone is cubic units.