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Spherical Balloon Related Rates

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A spherical balloon is being inflated so that its volume increases at a constant rate of 36π cubic inches per minute. At what rate, in square inches per minute, is the surface area of the balloon increasing when the radius is 6 inches? (The volume of a sphere of radius rr is V=43πr3V = \displaystyle\frac{4}{3}\pi r^3 and the surface area is A=4πr2A = 4\pi r^2.)

A

144π144\pi

B

12π12\pi

C

π2\displaystyle \frac{\pi}{2}

D

6π6\pi

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