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

## Answer This Question

## Related Questions

- AP calculus AB - A balloon is being filled with air at a rate of 3 cubic meters ...
- related rates problem-calculus - A spherical balloon is being filled with air in...
- calc - hydrogen is being pumped into a spherical balloon at the rate of 250 ...
- relaited rates - A spherical balloon is being inflated so that its volume is ...
- calculus(related rates) - Water is leaking out of an inverted conical tank at a ...
- Calculus - A spherical balloon is inflated at a rate of 10 cubic feet per minute...
- calculus - a spherical balloon filled with gas has a leak that permits the gas ...
- Related Rates - Water is leaking out of an inverted conical tank at a rate of ...
- Calculus - Air is being pumped into a spherical balloon and the volume is ...
- calculus - You are letting the air out of a hot air balloon at a steady rate. ...

More Related Questions