Question
A spherical balloon is inflated with gas at the rate of 20 cubic feet per minute. How fast is the radius of the balloon increasing at the instant the radius is (a) 1 foot and (b) 2 feet?
Answers
v = 4/3 pi r^3
dv/dt = 4 pi r^2 dr/dt
Now just plug in your numbers.
dv/dt = 4 pi r^2 dr/dt
Now just plug in your numbers.
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