MHT CET 2022 Mathematics question

MathematicsApplication of DerivativesMHT CET 2022

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

Answer: (A)

Solution

When the ice thickness is 5 cm the outer radius is cm. The volume of ice is , so . Since the ice melts, , giving cm/min. The thickness equals , so it

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Question ID VK-097017