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JEE Main 2022 Mathematics question

MathematicsApplication of DerivativesJEE Main 2022

Water is being filled at the rate of 1 in a right circular conical vessel (vertex downwards) of height 35 cm and diameter 14 cm. When the height of the water level is 10 cm, the rate (in ) at which the wet conical surface area of the vessel increase, is

Answer: (3)

Solution

With r/h = 7/35 = 1/5, . So dV/dt = , giving dh/dt = . The wet curved area is $S = π rl = π

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Question ID VK-024904