A boiler is in the form of a cylinder 2 m long with hemispherical ends each of 2 metre diameter. Find the volume of the boiler.

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Solution

Given that:

Height of the cylinder

Radius of the cylinder and hemisphere are same and is given by

The volume of the cylinder is cylinder is

There are two hemispheres at each ends of the cylinder, therefore the volume of the two hemispheres is

Therefore, the total volume of the boiler is given by

Hence the volume of the boiler is

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