Q. 54.1( 354 Votes )

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.

Answer :

According to the question,

Diameter of hemisphere = Edge of cube
= l

Radius of hemisphere =

Curved Surface Area of hemisphere = 2 π r2
Surface Area of cube = 6(Edge)2

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 x ()2

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