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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 meta is `alpha`. The sphere is heated a little by a temperature `DeltaT` so that its new temperature is `T + DeltaT`. The icnrease in the volume of the sphere is approximately

A

`2pi R alpha DeltaT`

B

`piR^2 alpha DeltaT`

C

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

D

`4 pi R^3 alpha DeltaT`

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