1. Example Problem I

Shanta runs an industry in a shed which is in the shape of a cuboid surmounted by a half cylinder (see Fig.). If the base of the shed is of dimension \(7 m \times 15 m\), and the height of the cuboidal portion is \(8 m\), find the volume of air that the shed can hold. Further, suppose the machinery in the shed occupies a total space of \(300 m^3\) , and there are \(20\) workers, each of whom occupy about \(0.08 m^3\) space on an average. Then, how much air is in the shed? (Take (\pi=\frac{22}{7}\)

 

Required volume \(=\) \(m^3\)