# Watery

Geometry Level 3

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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