Posted by **:)** on Tuesday, May 15, 2012 at 8:19am.

A spherical balloon is being inflated so that its volume is increasing at the rate of 5 cubic meter per minute.At what rate is the radius increasing when the radius is 6 meters?

- relaited rates -
**Damon**, Tuesday, May 15, 2012 at 8:30am
V = (4/3) pi r^3

dV/dt = 4 pi r^2 dr/dt = surface area * dr/dt of course

so

dr/dt = dV/dt /(4 pi r^2)

= 5/(100 pi ) = 1/(20 pi)

- relaited rates -
**:)**, Tuesday, May 15, 2012 at 9:14am
thank you so much! :)

- relaited rates -
**:)**, Tuesday, May 15, 2012 at 9:25am
uhm, just one more thing. Isn't it 5/144π ? :)

- relaited rates -
**Damon**, Tuesday, May 15, 2012 at 10:04am
yes, right, forgot 6 and not 5

- relaited rates -
**:)**, Tuesday, May 15, 2012 at 7:48pm
thank you. :) you really did a big help. Godbless

## Answer this Question

## Related Questions

- Calculus - Air is being pumped into a spherical balloon and the volume is ...
- MATHS help plizzz - A spherical balloon is being inflated and its radius is ...
- Math - A spherical balloon is being inflated so that its volume is increasing at...
- calculus - A spherical balloon is being inflated so that its volume is ...
- Calculus - a spherical balloon is inflated with gas at the rate of 500 cubic ...
- math - Air is pumped into a balloon such that its volume increases at the rate ...
- calc - hydrogen is being pumped into a spherical balloon at the rate of 250 ...
- math - This one is kinda hard. "A ballon in the shape of a cylinder with ...
- calculus - This one is tough. "A ballon in the shape of a cylinder with ...
- calculus - A spherical balloon is being inflated at a rate of 10 cubic inches ...