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The radius of an air bubble is increasing at the rate of 
cm/s. At what rate is the volume of the bubble increasing when the radius is 1 cm?
Asked by Sushmita Last Modified
Answer 
Harshit Bhardwaj
The air bubble is in the shape of a sphere.
Now, the volume of an air bubble (V) with radius (r) is given by,
The rate of change of volume (V) with respect to time (t) is given by,
It is given that
.
Therefore, when r = 1 cm,
Hence, the rate at which the volume of the bubble increases is 2π cm3/s.
read lessRelated Questions
The rate of change of the area of a circle with respect to its radius r at r = 6 cm is
(A) 10π (B) 12π (C) 8π (D) 11π
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