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Spherical Balloon Related Rates

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A spherical balloon is inflated so that its volume increases at a rate of 10 cubic inches per second. The relationship between the volume VV and radius rr of a sphere is given by V=43πr3V = \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

532π\frac{5}{32\pi} inches/s

B

1016π\frac{10}{16\pi} inches/s

C

1032π\frac{10}{32\pi} inches/s

D

516π\frac{5}{16\pi} inches/s

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