Maths-

General

Easy

Question

# A Solid consisting of a right circular cone , standing on a hemisphere , is placed upright , in a right circular cylinder , full of water and touches the bottom. Find the volume of the water left in the cylinder having given that the radius of the cylinder is 3 cm and its height is 6 cm, the radius of hemisphere is 2 cm and the height of the cone is 4 cm.Give your answer to the nearest cubic centimetre .

Hint:

### Volume of cone

Volume of cylinder

Volume of hemisphere

## The correct answer is: 136cm3

### Explanation:

- We have given right circular cone , standing on a hemisphere , is placed upright , in a right circular cylinder , full of water and touches the bottom.
- We have to find d the volume of the water left in the cylinder having given that the radius of the cylinder is 3cm and its height is 6cm , the radius of hemisphere is 2cm and the height of the cone is 4cm.

Step 1 of 1:

We have

Radius of cylinder 3cm

Height of cylinder 6cm

Radius of hemisphere 2cm

Height of cone 4cm

Volume of the water in the cylinder when it is full

Volume of water displaced =volume of cone + volume of hemisphere.

Therefore, volume of water which is left

= 136.19cm^{3}

= 136cm^{3}

Therefore, volume of water which is left

^{3}

^{3}