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JEE Math Practice Question

A spherical balloon is filled with $$4500\pi $$ cubic meters of helium gas. If a leak in the balloon causes the gas to escape at the rate of $$72\pi $$ cubic meters per minute, then the rate (in meters per minute) at which the radius of the balloon decreases $$49$$ minutes after the leakage began is :

  1. A.$${{9 \over 7}}$$
  2. B.$${{7 \over 9}}$$
  3. C.$${{2 \over 9}}$$
  4. D.$${{9 \over 2}}$$

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