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[jaclyncool7]

a spherical balloon is inflated with gas at the rate of 196 cubic feet per second. assuming the gas pressure remains constant, how fast is the radius of the balloon changing at the instant when the radius is 4 feet?

 

[galactus]

Volume of sphere: \(\displaystyle V=\frac{4}{3}{\pi}r^{3}\)

\(\displaystyle \frac{dV}{dt}=4{\pi}r^{2}\cdot \frac{dr}{dt}\)

Plug in your knowns and solve for dr/dt.