Question $1$

The diagram in Figure $1$ shows a side view $($elevation$)$ of a tank full of water to an overall depth of $6\mathrm{.}5m.$ In the wall of the tank, there is a small circular panel with a diameter of $800mm$ at a depth of $1\mathrm{.}7m$ at its mid point $)=(1\mathrm{.}7.$ Calculate:

$($a$)$ The pressure at point $P$ at the bottom of the tank wall

$[5$ marks$]$

$($b$)$ The force on the circular panel

$[5$ marks$]$

$($c$)$ The location of the point of action of the force on the panel, relative to the water surface $(y^{\text{'}})$

$[10$ marks$]$