The main water line enters a building at the ground level. The line has a gauge pressure of $9\mathrm{.}31$x$10\mathrm{⁵}$ Pa$.$ How high could a faucet be before no water would flow from it$,$ even if the faucet were open? Use P_atm $=1\mathrm{.}01$ x $10\mathrm{⁵}$ Pa for atmospheric pressure at the faucet level. Water  density p $=1\mathrm{.}00$ x $10\mathrm{³}$ kg$/$m$\mathrm{³}.$