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A shed consists of a cuboid surmounted b...

A shed consists of a cuboid surmounted by half cylinder, as shown in the figure. If the base of the shed is 7 m x 15 m and height of the cuboidal part is 8 m, find the volume of air contained in the shed. Also, find the internal surface area excluding the floor.

Text Solution

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Foe curved part
2r=7
r=3.5m
Volume=Volum`e_1`+Volum`e_2`
`=22/7*7/2*7/2*15/2+15*8*7`
`=128.75m^3`
TSA=S_1+2(S_2+S_3+S_4)
`(2*22*7*15)/(2*7*2)+2[22/7*7/2*7/2*1/2+7*18+15*8]`
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