The temperature of a metallic sphere of radius $R$ is increased by a small amount $\Delta T$. If the linear coefficient of thermal expansion of the metal is $\alpha$, the approximate increase in the volume of the sphere is :
- A$2\pi R^3 \alpha \Delta T$
- B$3\pi R^3 \alpha \Delta T$
- C$4\pi R^3 \alpha \Delta T$
- D$6\pi R^3 \alpha \Delta T$
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