Question $2(35$ points, $16$ minutes$)$: A large closed tank, Tank A of radius $($top half$)9$ ft is filled with water half way through and connected to a mercury $(SG=13\mathrm{.}6)$ manometer consisting of a thin inclined and vertical tube $($diameter $0\mathrm{.}2$ in $)$ that ends in an opened cylindrical container of $1$ ft diameter as shown in the figure below. The cylindrical container contains a synthetic fluid slug $(\frac{\text{:}}{f}{t}^3,=0\mathrm{.}038lb-\frac{s}{f}{t}^2$