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Question

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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Solution

(i) A cubical block of side 7 cm is surrounded by a hemisphere.
Diameter of hemisphere is = 7 cm.
Radius of hemisphere, r = 3.5 cm
Surface area of hemisphere = Curved surface area - Area of base of hemisphere
=2πr2πr2
=2×227×(72)2227×(72)2
=38.5
(ii) The curved surface area of square,
=6×I2
=6×(7)2
=6×49
=294 sq.cm.
Total surface area of cubical block = Curved surface area of cubical block + Surface area of hemisphere
= 294 + 38.5
= 332.5 sq.cm.
1840891_1199355_ans_f286f02f59e7411eabad78df6ae20bfc.png

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