APFIVE Spherical Balloon Related Rates
A spherical balloon is being inflated so that its volume increases at a rate of 10 cubic inches per second. The volume of a sphere is given by $$V=\frac{4}{3}\pi*r^3$$. Determine the rate at which the radius is increasing (in inches per second) when r = 4 inches.
| Given | Value | Units |
|---|---|---|
| dV/dt | 10 | in³/s |
| r | 4 | inches |
A
$$\frac{10}{32\pi}$$ inches/s
B
$$\frac{5}{16\pi}$$ inches/s
C
$$\frac{5}{32\pi}$$ inches/s
D
$$\frac{10}{16\pi}$$ inches/s
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