Question $25(4$ points$)$

A circular cylinder of height $1\mathrm{.}20$ m having faces of diameter $0\mathrm{.}620$ m is immersed in water of density $1\mathrm{.}00{10}^{3}k\frac{g}{m^3}$ with its axis vertical so that its faces are parallel to the surface of the water. The upper face is $2\mathrm{.}50$ m below the surface of the water. The net force on this cylinder is observed to be $1120$ N downward. Atmospheric pressure is $1\mathrm{.}01{10}^{5}Pa.$ What net force does the water exert on the lower face of the cylinder?

$7\mathrm{.}40{10}^{3}N$

$1\mathrm{.}09{10}^{4}N$

$3\mathrm{.}79{10}^{4}N$

$1\mathrm{.}37{10}^{5}N$

$4\mathrm{.}14{10}^{4}N$