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JEE MATHEMATICS MCQ: RATE MEASURE

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The edge of a cube is equal to the radius of a sphere. If the edge and the radius increase at the same rate, then the ratio of the increases in surface areas of the cube and sphere is

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Correct option: B

3\;:2\pi

Option B (

3\;:2\pi

) is correct because it is the ratio of the rates of change of the surface areas of the cube and sphere, given that their edge and radius increase at the same rate.

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