Philip P. answered • 03/18/18

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V = (4/3)·pi·r

^{3}- V = volume of balloon
- r = radius of balloon

dV/dt = dV/dr · dr/dt [Chain Rule]

dV/dt = 4·pi·r

^{2}· dr/dtPlug in dV/dt = 10 cm

^{3}/sec and r = 20 cm and solve for dr/dt.That will give the rate at which the radius is changing. The diameter is changing at twice the rate.

Janelle R.

03/19/18