A spherical balloon is inflated with gas at a rate of 900 cubic centimeters per minute. (a) How fast is the radius of the balloon changing at the instant the radius is 20 centimeters? cm/min (b) How fast is the radius of the balloon changing at the instant the radius is 80 centimeters? cm/min
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Step 1: Given that the volume of the balloon is changing at a rate of 900 cubic centimeters per minute, we can use the formula for the volume of a sphere: \( V = \frac{4}{3} \pi r^3 \). Show more…
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