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

(a) 2πR α ΔT 

(b) 2πR2 α ΔT 

(c) (4πR3α ΔT)/3 

(d) 4πR3α ΔT

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(d) 4πR3α ΔT

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