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MHT CET 2023 Mathematics question

MathematicsApplication of DerivativesMHT CET 2023

A water tank has a shape of inverted right circular cone whose semi-vertical angle is . Water is poured into it at constant rate of 5 cubic meter/minute. The rate in meter/minute at which the level of water is rising, at the instant when depth of water in the tank is 10m is

Answer: (A)

Solution

Let the water depth be and surface radius . Semi-vertical angle with gives , so . Volume . Differentiate with respect to : $ = Missing argument for \frac\frac{π

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Question ID VK-094639