Question $4(25$p$)$:

The tank shown in the figure is partly filled with water and pressurized by $C{O}_2.$

a$)$ Calculate the pressure force acting on the quarter$-$circular plane surface AOB.

b$)$ Determine the application point of the force.

c$)$ Draw hydrostatic pressure distribution over the plane surface AOB.

a and $b$ are the last two digits of your student ID$.$

Example: Student ID: $17042082,a=8,b=2$

$($ a and $b$ are the digits after the comma$)$