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The radius of a metal sphere at room tem...

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

A

`2pi R alpha Delta T`

B

` pi R^(2) alpha Delta T`

C

`4 pi R^(3) alpha Delta T//3`

D

` 4 pi R^(3) alpha Delta T`

Text Solution

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The correct Answer is:
D
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