A spherical ball of salt is dissolving i...

A spherical ball of salt is dissolving in water in such a manner that the rate of decrease of volume at any instant is proportional to the surface. Prove that the radius is decreasing at a constant rate.

Text Solution

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The correct Answer is:

8 m/sec (approx).

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A spherical balloon is being inflated so that its volume increase uniformaly at the rate of 40 cm^(3)//"minute" . The rate of increase in its surface area when the radius is 8 cm, is

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