question_answer

A spherical iron ball 10 cm in radius is coated with a layer of ice of uniform thickness that melts at a rate of\[50\text{ }c{{m}^{3}}/\min \]. When the thickness of ice is 15 cm, then the rate at which the thickness of ice decreases, is     AIEEE  Solved  Paper-2005

A) \[\frac{5}{6\pi }cm/\min \]      

B)        \[\frac{1}{54\pi }cm/\min \]

C)        \[\frac{1}{18\pi }cm/\min \]      

D) \[\frac{1}{36\pi }cm/\min \]

Correct Answer: C

Solution :

Given that,