A toy is in the form of a cone mounted on a hemisphere with the same radius. The diameter of the base of the conical portion is 7 cm and the total height of the toy is 14.5cm. Find the volume of the toy.

# A toy is in the form of a cone mounted on a hemisphere with the same radius. The diameter of the base of the conical portion is 7 cm and the total height of the toy is 14.5cm. Find the volume of the toy.

1. A
331${\mathit{cm}}^{3}$
2. B
449${\mathit{cm}}^{3}$
3. C
240${\mathit{cm}}^{3}$
4. D
231${\mathit{cm}}^{3}$

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### Solution:

Given, diameter of base of conical portion and hemisphere= 7 cm.
Total height of toy = 14.5cm.
Radius of base of conical portion and hemisphere = 3.5cm.
Volume of cone =   Volume of hemisphere =
Height of the conical portion = Total height – radius of conical portion
=  cm.
Volume of cone =  .
.
Volume of hemisphere =  .
.
Volume of toy = volume of conical portion + volume of hemisphere    .
Therefore, volume of toy is
Therefore, option 4 is correct.

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