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


23