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JEE Main 2014 Mathematics question

MathematicsApplication of DerivativesJEE Main 2014

If the volume of a spherical ball is increasing at the rate of 4π cc/sec then the rate of increase of its radius (in cm/sec), when the volume is 288π cc is

Answer: (4)

Solution

From we get , so r = 6 cm. Differentiating, $ =

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Question ID VK-104695