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Question

If the surface area of a sphere is 36πcm2, then the volume of the sphere is equal to

A
12πcm3
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B
36πcm3
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C
72πcm3
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D
108πcm3
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Solution

The correct option is D 36πcm3
We have,
surface area=36π cm2

We know that the surface area of the sphere
=4πr2

So,
4πr2=36π

r2=9

r=3 cm

We know that the volume of the sphere
=43πr3

Therefore,
=43π×33

=4×π×9

=36π cm3

Hence, this is the answer.

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