Q. 44.3( 438 Votes )

A cubical block of side 7 cm is surmounted by a hemisphere. What is the greatest diameter the hemisphere can have? Find the surface area of the solid.

Answer :

From the figure:

The greatest diameter possible for the hemisphere is equal to the cube's edge= 7cm



Radius (r) of hemispherical part = 7/2cm

The total surface area of solid = Surface area of cubical part + CSA of hemispherical part - Area of the base of hemispherical part

= 6 (Edge)2 + 2πr2 – πr2

= 6 (Edge)2 + πr2

Total surface area of solid = 6 (7)2 +( ×  × )



= 294 + 38.5

= 332.5 cm2

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