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A hemispherical depression is cut out fr...

A hemispherical depression is cut out from one face of a cubical wooden plank such that the diameter 4 of the hemisphere is equal to the edge of the cube. Determine the surface area of remaining solid.

Text Solution

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Side of cube=4
yellow region=`16-4pi=4(4-pi)`
Total surface area=`5(4^2)+16-4pi+16pi.`
`=96+4picm^2`.
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