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The radius of an air bubble is increasing at the rate of .  At what rate is the volume of the bubble increasing when the radius is ?

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The air bubble is in the shape of a sphere.
Now, the volume of an air bubble with radius is given by,

The rate of change of volume with respect to time is given by, 
 
It is given that cm/s
Therefore, when cm, 

Hence, the rate at which the volume of the bubble increases is .
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Question Text
The radius of an air bubble is increasing at the rate of .  At what rate is the volume of the bubble increasing when the radius is ?

Answer TypeText solution:1
Upvotes150