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The radius of metal sphere at room tempe...

The radius of metal sphere at room temperature T is R and the coefficient of linear expansion of the metal is `alpha`. The sphere is heated a little by a temperature T, so that new temperature is `T+DeltaT`. The increase in volume of sphere is approximately

A

`2piRalphaDeltaT`

B

`piR^2alphaDeltaT`

C

`4piR^3alphaDeltaT//3`

D

`4piR^3alphaDeltaT`

Text Solution

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The correct Answer is:
D
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