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Question

A conical and a hemispherical solid of the same height and radius are to be attached at both ends of a solid cylindrical metallic block whose radius is the same as that of the other solids. The height of the new solid so formed is 3/2 times the height of the cylindrical block. is the radius of the hemisphere.

What is the difference between the total surface areas of the new solid and the cylindrical block?


A

πr2

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B

√2πr2

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C

2πr2

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D

(2 + √2)πr2

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Solution

The correct option is B

√2πr2



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