Question

A hemispherical bowl is made of wood 0.5 cm thick. If the inner radius of the bowl is 4cm, find the volume of wood used to make the bowl.

Answer 1

Answer:

The volume of steel used on making the bowl is 56.83 cm .

Step-by-step explanation:

It is given that

Internal radius of the hemispherical bowl =4cm

Thickness of the hemispherical bowl =0.5cm

We know that

External radius =4+0.5=4.5 cm

We know that

Volume of steel used in making the hemispherical bowl=volume of the shell

So we get

Volume of the steel used in making the hemispherical bowl =

3

2

π(4.5

3

−4

3

)

On further calculation

Volume of the steel used in making the hemispherical bowl =

3

2

×

7

22

×[91.125−64]

We have

Volume of the steel used in making the hemispherical bowl =

3

2

×

7

22

×27.125=56.83 cm

3

Therefore, the volume of steel used on making the bowl is 56.83 cm

3

.