B Can You Find the Constant Value K for a Slowly Inflating Balloon?

[Pin Head]

Hi,
I'm working on a problem about a spherical balloon as its inflated slowly the radius of the balloon is in cm and the time is in seconds

dr/dt = k/r²

Now I know how to rearrange this equation using separable differentiation

r=³√3kt+c

However I would like to find the value of the constant K

For example the radius is 6cm and the radius is increasing at the rate of 5/36pi cm per second and I would like to rearrange the dr/dt=k/r² to find the value of K

Any help would be appreciated

 

[phyzguy]

You are given dr/dt (5/36pi cm per second) at a given r (6cm). Plug these into your first equation and solve for k.