MHT CET 2022 Mathematics question

MathematicsApplication of DerivativesMHT CET 2022

The radius of a cylinder is increasing at that rate 2 cm/sec and its height is decreasing at the rate of 3 cm/sec, then the rate of change of volume, when radius is 3 cm and the height is 5 cm, is

Answer: (D)

Solution

Volume . Differentiate with respect to time: . Given cm/s, cm/s (decreasing), cm, cm:

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Question ID VK-096002