Asked by Kevin

Air is being pumped into a spherical hot air balloon at a rate of 50 cm^3/min. Determine the rate at which the radius of the balloon is increasing when the diameter of the balloon is 200 cm.

Answers

Answered by Reiny
V = (4/3)πr^3
dV/dt = 4π r^2 dr/dt

plug in the given stuff

50 = 4π(100)^2 dr/dt
dr/dt = 50/(4π(100)^2 ) = .... cm/min
Answered by pota
3.97cm/min
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