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.

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Given in the question, side of the cubical block = 7cm.

Thus, the radius of hemisphere can be calculated as = 72 = 3.5 cm

Finally, the,

Total surface area of the solid (T.S.A) = Total surface area of the cube – Area of base of

hemisphere + curved surface area of hemisphere.

Substituting values in the same we get,

⇒ TSA = 6×72 − π (3.5)2 + 2(3.5)2

⇒ TSA = 332.465 cm2

Final Answer: The surface area of the solid is 332.465 cm2