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Question

A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius. Find the volume of the solid in terms of π.

A
2π cm3
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B
8π cm3
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C
7π cm3
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D
π cm3
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Solution

The correct option is D π cm3
Area of solid = Area of cone + area of cone
Radius =1cm
Height =1cm
Volume of Hemisphere
=23πr3
=23π×13
=23π cm2
Volume of cone is,
13πr2h
=13π×12×1
=13π cm2
total Volume =23π+13π
=π(2+13)
=π cm3

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