Q7 of 39 Page 1

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

Given: Volume of a sphere is increasing at the rate of 3 cubic centimetre per second.


Let r be the radius and V be the volume at any time t.





When r = 2 cm, ;



Let S be the surface area at any time t.


S = 4πr2





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