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
According to the question,
Diameter of hemisphere = Edge of cube = l
Radius of hemisphere = 
Total surface area of solid = Surface area of cubical part + CSA of hemispherical part - Area of base of hemispherical part
= 6 (Edge)2 + 2πr2 – πr2
= 6 (Edge)2 + πr2
TSA of Solid = 6l2 + π * (
)2
= 6l2 + 
= 
(24 + π)l2 unit2
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