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Q.

The side of a cube decreased at the rate 0.04 cm / sec. The rate of decrease in the volume of the cube when the the side is 10cm is (in cu.m/sec)

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answer is 12.

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Detailed Solution

volume=V=x3 ⇒dvdt=3x2dxdt=3(10)2(-0.04)=-12cub.cm/sec The rate of decreasing in volume =12cub.cm/sec

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