Question
Sun March 08, 2015 By: Shagun Rastogi

shanta runs an industry in a shed which is in the shape of a cuboid surmounted by a half cylinder .if the base of the shed is of dimension 7m x 15m, and the height of the cuboidal portion is 8m, find the volume of air that the shed can hold . further, suppose the machinery in the shed occupies a total space of 300mcube and there are 20 workers , each of whom occupy about 0.08mcube space on an average .then , how much air is in the shed ???  

Expert Reply
Prasenjit Paul
Sun March 08, 2015
V o l u m e space o f space t h e space c u b o i d a l space p o r t i o n space equals 7 cross times 15 cross times 8 space equals 840 m cubed V o l u m e space o f space t h e space c y l i n d r i c a l space p o r t i o n space equals 1 half cross times 22 over 7 cross times open parentheses 7 over 2 close parentheses squared cross times 15 equals 1155 over 4 m cubed T o t a l space v o l u m e space o f space s p a c e space i n space t h e space s h e d equals open parentheses 840 plus 1155 over 4 close parentheses m cubed V o l u m e space o f space t h e space s p a c e space o c c u p i e d space b y space 20 space p e r s o n s equals 20 cross times 0.08 equals 1.6 space m cubed V o l u m e space o f space a i r space i n space t h e space s h e d space equals 840 plus 1155 over 4 minus 300 minus 1.6 equals 827.15 space m cubed
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