Mathematics
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.
Mensuration
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Answer
The greatest diameter that hemisphere can have is equal to the length of cube i.e., 7 cm.
Radius of hemisphere (r) = = 3.5 cm
Surface area of solid = Surface area of cubical part - Base area of hemisphere + Curved surface area of hemisphere
= 6(side)2 - πr2 + 2πr2
= 6 × 72 + πr2
= 6 × 49 +
= 294 + 38.5 = 332.5 cm2.
Hence, greatest diameter = 7 cm and surface area of solid = 332.5 cm2.
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