A pipe has a maximum height $($H$=2\mathrm{.}99$ m$)$ above the pump then lowers down to a height $($h$)$ with a flow rate of $0\mathrm{.}729$ L$/$s and an output pressure of $1\mathrm{.}82$ x $10^5.$ When the water enters the pipe, it has a diameter of $2\mathrm{.}58$ cm$.$ What is the pressure at the maximum height?