Question

A hemispherical tank is made up of an iron sheet 1 cm thick. If the inner radius is 1m, then find the volume of the iron used to make the tank.

Answer 1

In the given problem, we have a hemispherical tank of the following dimensions:

Inner radius of the tank (r) = 1 m

Thickness of the iron sheet = 1 cm

= 0.01 m

So, the outer radius of the tank (R) = inner radius + thickness of the sheet

Now, we need to find the volume of iron used to make the tank. For that we can use the formula for calculating the volume of a hemispherical shell.

Volume of a hemispherical shell =

Therefore, the volume of the iron used to make the tank is