Fire hoses used in major structure fires have inside diameters of $6\mathrm{.}40$ cm$.$ Suppose such a hose carries a flow of $40\mathrm{.}0$ L$/$s starting at a gauge pressure of $1\mathrm{.}62106$N$/$m$2.$ The hose goes $10\mathrm{.}0$ m up a ladder to a nozzle having an inside diameter of $3\mathrm{.}00$ cm$.$ Assuming negligible resistance, what is the pressure in the nozzle