APFIVE Spherical Balloon Related Rates
The volume of a spherical balloon is increasing at a constant rate of 36π cubic inches per minute. At what rate is the surface area of the balloon increasing, in square inches per minute, when the radius is 6 inches? (The volume of a sphere with radius $$r$$ is $$V = \displaystyle\frac{4}{3}\pi r^3$$ and the surface area is $$A = 4\pi r^2$$.)
A
$$6\pi$$
B
$$\displaystyle \frac{\pi}{2}$$
C
$$12\pi$$
D
$$144\pi$$
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