Air is being pumped into a spherical balloon at a rate of 20 in3min-1. How fast is the radius of the balloon increasing when the radius is 6 in ? Volume of a sphere with radius r is \( \frac{4}{3} \pi r^{3} \)

A 0.0530 in/min

B 0.0442 in/min

C 0.0354 in/min

D 0.265 in/min

Solution

Correct Answer: Option B

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