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A hemispherical depression is cut out from one face of a cubical wooden block such that the diameter

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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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Diameter of hemisphere = Edge of cube = l

Radius of hemisphere = l/2

Total surface area of solid = Surface area of cubical part + CSA of hemispherical part − Area of base of hemispherical part

= 6(edge)2 + 2π r2  - π r2

= 6(edge)2 + π r2

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