Water of density $103$ kg$/$m$3$ is flowing in a$\mathrm{ 3}0$ m long pipe. The pipe is laid with a slope of$\mathrm{ 5}\mathrm{.}7390$; its cross section decreases from a diameter of $0\mathrm{.}75$m to $0\mathrm{.}3$m$.$ If the average velocity in the lower smaller end is $4\mathrm{.}5$ m$/$s and the pressure in the upper end is $1$ bar, calculate the pressure in the lower end. Assume inviscid $-$turbulent flow.