Question

A hemispherical bowl is made of steel 0.5cm thick. The inside radius of the bowl is 4cm. Find the volume of steel used in making the bowl.

Answer 1

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 steel used in making the hemispherical bowl = 2/3 π (4.5³ – 4³)

On further calculation

Volume of steel used in making the hemispherical bowl = 2/3 × (22/7) × [91.125 – 64]

We get

Volume of steel used in making the hemispherical bowl = 2/3 × (22/7) × 27.125 = 56.83 cm³

Therefore, the volume of steel used in making the bowl is 56.83 cm³.