$A$ balloon which always remains spherical is being inflated by pumping in $10 \text{ cm}^3$ of gas per second. Find the rate at which the radius of the balloon is increasing when the radius is $15 \text{ cm}$.

  • A
    $ \frac{1}{90 \Pi} \text{ cm s}^{-1} $
  • B
    $ \frac{1}{9 \Pi} \text{ cm s}^{-1} $
  • C
    $ \frac{1}{30 \Pi} \text{ cm s}^{-1} $
  • D
    $ \frac{1}{\Pi} \text{ cm s}^{-1} $

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