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The Volume of a Sphere is Increasing at the Rate of 3 Cubic Centimeter per Second. Find the Rate of Increase of Its Surface Area, When the Radius is 2 Cm - CBSE (Commerce) Class 12 - Mathematics

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Question

The volume of a sphere is increasing at the rate of 3 cubic centimeter per second. Find the rate of increase of its surface area, when the radius is 2 cm

Solution

Let r be the radius and V be the volume of the sphere at any time t. Then,

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Solution The Volume of a Sphere is Increasing at the Rate of 3 Cubic Centimeter per Second. Find the Rate of Increase of Its Surface Area, When the Radius is 2 Cm Concept: Rate of Change of Bodies Or Quantities.
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