Volume of a ball changing at a given rate: rate of change of its radius

1. A.
   $\frac{1}{6}\,\text{cm/sec}$
2. B.
   $\frac{1}{36}\,\text{cm/sec}$
3. C.
   $6\,\text{cm/sec}$
4. D.
   $36\,\text{cm/sec}$

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1. A.
   The radius is increasing at the rate of $\dfrac{1}{2\pi}$ cm/s
2. B.
   The radius is decreasing at the rate of $\dfrac{1}{2\pi}$ cm/s
3. C.
   The radius is increasing at the rate of $\dfrac{1}{\pi}$ cm/s
4. D.
   The radius is decreasing at the rate of $\dfrac{1}{\pi}$ cm/s

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