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JEE Math Practice Question

A spherical iron ball of radius 10 cm is coated with a layer of ice of uniform thickness that melts at a rate of 50 cm3 /min. When the thickness of the ice is 5 cm, then the rate at which the thickness (in cm/min) of the ice decreases, is :

  1. A.$${5 \over {6\pi }}$$
  2. B.$${1 \over {9\pi }}$$
  3. C.$${1 \over {36\pi }}$$
  4. D.$${1 \over {18\pi }}$$

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