A closed cylindrical tank filled with water has a hemispherical dome and is

connected to an inverted piping system as shown in Fig $1.$ The liquid in the top part of the

piping system has a specific gravity of $0\mathrm{.}8,$

and the remaining parts of the system are

filled with water. If the pressure gauge

reading at $A$ is $60$kPa, determine: $($a$)$ the

pressure in pipe B$,$ and $($b$)$ the pressure

head, in millimeters of mercury, at the top of

the dome $($point C$).$

Figure $1.$ A closed cylindrical tank filled

with water.