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6. Shanta runs an industry in a shed which is in the shape of a cuboid surmountedby a half cylinder (see the given figure).If the base of the shed is of dimension7 m x 15 m, and the height of the cuboidalportion is 8 m, find the volume of air thatthe shed can hold. Further, suppose themachinery in the shed occupies a totalspace of 300 m' and there are 20 workers.each of whom occupy about 0.08 m spaceon an average. Then, how much air is in22the shed? |
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Answer» Clearly, the volume of air inside the shed (when there is no people or machinary) is equal to the volume of air inside the CUBOID and inside the HALF-cylinder taken togetherFor cuboidal part, we haveLength =15m; breadth =7M and height =8mVolume of cuboidal part =15×7×8m2 =840m3 Clearly ,radius = r = 7/2 mHeight (length) of half-cylinder=h= Length of cuboid=15mVolume of half cylinder =288.75m 3 Volume of air inside the shed when there is no people or machinary=(840+288.75)m 3 =1128.75m3 Total SPACE occupied by 20 workers =20×0.08m3 =1.6m 3 Total space occupied by the machinery =300m3 |
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