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A SPHERICAL BALLON IS INFLATED WITH GAS AT A RATE 600 CUBIC METERS PER MINUTE
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OMG really? Wow! :-O
@mikered006 Hey, welcome to OS. Please ask the full question :-P
A spherical balloon is inflated with gas at a rate of 600 cubic centimeters per minute. (a) How fast is the radius of the balloon changing at the instant the radius is 30 centimeters How fast is the radius of the balloon changing at the instant the radius is 80 centimeters
The total derivative of the sphere's volume expression\[V=\frac{4 \pi r^3}{3} \]is\[dV=4 \pi r^2 dr \]Plug in the numbers and solve for dr.
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