Q2 of 78 Page 13

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

The volume of a sphere, with radius r, is defined as

- (1)


Given that and r=2cm, we have to calculate .


Differentiating (1) with respect to t, we get



Substituting the values, we get




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