A spherical iron ball $10$ cm in radius is coated with a layer of ice of uniform thickness that melts at a rate of $50$ cm$^3$ /min. When the thickness of ice is $5$ cm, then the rate at which the thickness of ice decreases is
${1 \over {36\pi }}$ cm/min
${1 \over {18\pi }}$ cm/min
${1 \over {54\pi }}$ cm/min
${5 \over {6\pi }}$ cm/min
Solution
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