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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/r^{2}

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/r^{2}to find the value of K

Any help would be appreciated

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# B Finding Constant value K

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