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Question

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

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Solution

It is given that a hemisphere is cut from a cubical box with edge l such that

diameter of hemisphere is also l.

We have to find the surface area of the remaining solid.

Surface area of the cubical box with side l

Let r be the radius of hemisphere

Surface area of the hemisphere

( since )


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