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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The greatest diameter = side of the cube = 7 cm
Surface Area of Solid = Surface Area of Cube – Surface Area of Base of Hemisphere + Curved Surface Area of hemisphere Surface Area of Cube
= 6 x Side2 = 6 x 7 x 7 = 294 sq cm
Surface Area of Base of Hemisphere Curved Surface Area of Hemisphere
= 2 x 38.5 = 77 sq cm Total Surface Area = 294 – 38.5 + 77 = 332.5 sq cm
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