Prob. $2\mathrm{.}6\mathrm{.}10$ p$.$ IP$-13[$Ans: $103\mathrm{.}2$kPa;$229\mathrm{.}4mmHg].$

$2\mathrm{.}6\mathrm{.}10$ WP A closed cylindrical tank filled with water has a hemispherical dome and is connected to an inverted piping system, as shown in Fig. P$2\mathrm{.}6\mathrm{.}10.$ 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 gage 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 P$2\mathrm{.}6\mathrm{.}10$