A seventeenth century physicist built a water barometer that projected through a hole in the roof of his house so that his neighbors could predict the weather by the height of the water. Suppose that a mercury barometer at $25C$ reads $30\mathrm{.}0in,$ and the densities of mercury and water at $25C$ are $13\mathrm{.}53$ and $1\mathrm{.}00\frac{g}{c}{m}^3$ respectively. What would the corresponding height of the column of water in the water barometer?