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A balloon, which always remains spherical on inflation, is being inflated by pumping in 900 cubic centimetres of gas per second. Find the rate at which the radius of the balloon increases when the radius is 15 cm.
Asked by Shail Last Modified
Answer 
Harshit Bhardwaj
The volume of a sphere (V) with radius (r) is given by,
∴Rate of change of volume (V) with respect to time (t) is given by,
[By chain rule]
It is given that
.
Therefore, when radius = 15 cm,
Hence, the rate at which the radius of the balloon increases when the radius is 15 cm is
Related 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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