Maths-

General

Easy

Question

# A hemisphere of radius 5 cm surmounted by a right circular cone of base radius 5 cm. Find the volume of the solid if the height of the cone is 7 cm. Give your answer correct to two places of decimal.

Hint:

### Volume of hemisphere

## The correct answer is: 445.05

### Explanation:

- We have given a hemisphere of radius 5cm surmounted by a right circular cone of base radius 5cm.
- We have to find the volume of the solid if the height of the cone is 7cm

Step 1 of 1:

The radius of a hemisphere is 5cm

So, The volume of hemisphere will be

Volume of cone will be

Now the volume of solid will be equal to sum of volume of hemisphere and volume of the cone.

So,

= 445.05

Hence, The Volume of the solid will be 445.05cm^{3}.

Volume of cone will be

Now the volume of solid will be equal to sum of volume of hemisphere and volume of the cone.

So,

Hence, The Volume of the solid will be 445.05cm

^{3}.

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