Question
The volume of a spherical balloon is increasing at the rate of cubic centimetre per second. Find the rate of change of its surface area at the instant when radius is .
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Text solutionVerified
Let be the radius be the volume and be the surface area of a sphere at any instant
we know volume of sphere
given and
so,
or,
Now surface area
or,
so the rate change of surface area
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Question Text | The volume of a spherical balloon is increasing at the rate of cubic centimetre per second. Find the rate of change of its surface area at the instant when radius is . |
Answer Type | Text solution:1 |
Upvotes | 150 |