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A spherical iron ball 10cm in radius is coated with a layer of ice of uniform thickness that melts at a rate of `50c m^3//m in` . When the thickness of ice is 5cm, then find the rate at which the thickness of ice decreases.

A

`(5)/(6pi) cm//min`

B

`(1)/(54 pi) cm//min`.

C

`(1)/(18pi) cm//min`

D

`(1)/(36 pi) cm //min`

Text Solution

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The correct Answer is:
C
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