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# If the surface area of a sphere of radius

Question:

If the surface area of a sphere of radius $\mathrm{r}$ is increasing uniformly at the rate $8 \mathrm{~cm}^{2} / \mathrm{s}$, then the rate of change of its volume is:

1. proportional to $\mathrm{r}^{2}$

2. constant

3. proportional to $\mathrm{r}$

4. proportional to $\sqrt{r}$

Correct Option: , 3

Solution: