A toy is in the form of a cone of radius r cm mounted on a hemisphere of the same radius. The total height of the toy is (r + h) cm. Find the volume of the toy?

The volume of the toy will be the sum of the volume of the cone to the volume of the hemisphere.

Answer: The volume of the conical toy mounted on a hemisphere of the same radius is 1/3πr² [h + 2r].

Here is the solution.

Explanation:

Given that:

Radius of cone = Radius of hemisphere = r cm

Height of cone = (r + h) cm

Volume of the toy = Volume of cone + Volume of hemisphere

⇒ 1/3πr²h + 2/3πr³

⇒ 1/3πr² [h + 2r]

Thus, the volume of the conical toy mounted on a hemisphere of the same radius is 1/3πr² [h + 2r].