Shanta runs an industry in a shed which is in the shape of a cuboidsurmounted by a half cylinder. If the base of the shed is of dimension `7m xx15 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 300 `m^3` and 20 workers each of whom occupy 0.08 `m^3` space on an average.Then how much air is in the shed.

Explanation

Solution:

The volume of air inside the shed (when there is no people or machinery) is equal to the volume of air inside the cuboid and inside the half-cylinder taken together.


For cuboidal part, we have


length =15m; breadth =`7m`
And height =`8m`

Therefore, Volume of cuboidal part =`15×7×8m^2`

=`840m^3`

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