Problem $2.$

Consider a ship with $L=60m,B=10m,T=2m,=600$ tons, sitting in saltwater $(=1,025\frac{kg}{m^3}).$ The

lightship CG is $1\mathrm{.}2$ m above keel. The ship has a single, rectangular tank with length, $l=40m,$ and width

equal to half of the ships beam. The bottom of the tank is at keel. The height of the tank is $3$ m $.$ The tank

is half$-$filled with crude oil $(\{$:${}_t=870\frac{kg}{m^3})$ and is on centerline resulting in $0$ mean heel. What is the

vertical center of gravity $(KG)$ of the loaded ship?