Water flows from the basement to the second floor through the $2cm$ diameter copper pipe $($a drawn tubing$)$ at a rate of $Q=0\mathrm{.}8\frac{i}{s}$ and exits through a faucet of diameter $1\mathrm{.}3cm$ as shown in figure.

Determine the pressure at point $1$ if :

a$)$ viscous effects are neglected,

b$)$ the only losses included are major losses

c$)$ all losses are included