A spherical iron ball of


A spherical iron ball of $10 \mathrm{~cm}$ radius is coated with a layer of ice of uniform thickness the melts at a rate of $50 \mathrm{~cm}^{3} / \mathrm{min}$. When the thickness of ice is $5 \mathrm{~cm}$, then the rate (in $\mathrm{cm} / \mathrm{min}$.) at which of the thickness of ice decreases, is :

  1. $\frac{1}{36 \pi}$

  2. $\frac{5}{6 \pi}$

  3. $\frac{1}{18 \pi}$

  4. $\frac{1}{54 \pi}$

Correct Option: , 3


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