Q14 of 78 Page 13

Mark the correct alternative in the following:

The volume of a sphere is increasing at the rate of 4π cm3/sec. The rate of increase of the radius when the volume is 288 π cm3, is


The volume of a sphere, of radius r, is defined by

– (1)


Given that V=288π cm3,



Solving for r, we get r=6cm


Given that , we have to calculate


Differentiating (1) with respect to t, we get



Substituting values, we get



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