Posted by **elizabeth** on Thursday, December 30, 2010 at 4:58pm.

A balloon is being filled with air at a rate of 3 cubic meters per minute. Find the rate at which the radius is changing when the volume is 113.0973355 cubic meters.

- related rates calculus problem -
**Reiny**, Thursday, December 30, 2010 at 5:32pm
V = (4/3)πr^3

dV/dt = 4πr^2 dr/dt

we know dV/dt, but we have to find r

113.0973355 = (4/3)πr^3 , ( I am sure they gave you that number as 36π)

r^3 = 27

r = 3

subbing in

3 = 4π9) dr/dt

dr/dt = 1/(3π) m/min

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