# 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 1/3πr^{2 }[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

⇒ 1/3πr^{2}h + 2/3πr^{3}

⇒ 1/3πr^{2 }[h + 2r]

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

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