MHT CET 2022 Mathematics question

MathematicsApplication of DerivativesMHT CET 2022

The radius of right circular cylinder increases at the rate 0.1 cm/min and the height decreases at the rate of 0.2 cm/min. The rate of change of volume of the cylinder in cm/min when the radius is 2 cm and height is 3 cm, is

Answer: (D)

Solution

, so . With , , and : cm/min. The magnitude matches only option (D)

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Question ID VK-094347