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