mutually dependant variables Watch

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How do you model a situation where the two variables are mutually dependant on one another?

For example: filling a cylinder with a small hole at the bottom with water such that the hole won't let as much out as you put in, so water builds up in the cylinder. At some point, if the cylinder is tall enough, it will get to a point where no more water can be held in the cylinder because the built up pressure from the extra weight is forcing the water out the hole as fast as you put water in. Basically the volume depends on how much is discharged and the rate of discharge depends on volume. How the hell do you find this volume when discharge equals input and the volume stops increasing?

There are similar things with magnets and induced currents in a motor and pretty much anything when the consequence of an action has a feedback on the action itself. Can anyone help my curiosity?
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