APFIVE Spherical Balloon Related Rates
A spherical balloon is inflated so that its volume increases at a rate of 10 cubic inches per second. The relationship between the volume $$V$$ and radius $$r$$ of a sphere is given by $$V = \frac{4}{3}\pi r^3$$. What is the rate of change of the radius, in inches per second, when the radius is 4 inches?
A
$$\frac{10}{16\pi}$$ inches/s
B
$$\frac{5}{32\pi}$$ inches/s
C
$$\frac{10}{32\pi}$$ inches/s
D
$$\frac{5}{16\pi}$$ inches/s
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