Water runs into a cylindrical tank of height \(100\text{ cm}\) at the rate of \(5\text{ cm}^3\text{/s}\). If the radius of the base of this cylinder is \(7\text{ cm}\), the find the rate of change of the water level in the tank.

The answer is of the form \(\dfrac{x}{y \times \pi}\) where \(x\) and \(y\) are coprime positive integers. Submit the value of \(x + y\).

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