A $30-cm$ diameter, $60-cm$ long cylinder floats in an open tank containing a liquid

having density, ${}_f.$ A U$-$tube manometer is connected to the tank as shown in the

Figure. When the pressure in pipe at A is $0\mathrm{.}7$ KPa $($gage pressure$),$ determine the

Buoyancy force on the cylinder. Note that top of the cylinder is in level with the

fluid surface.

$[$Step by step calculation is necessary. No shortcut will be evaluated$]$