An oil barge is effectively rectangular in shape and has a flat bottom and vertical sides $,75$m long, $19$m wide.

The barge is carrying $7850$m$^3$ of crude oil and has a draft of $6\mathrm{.}4$m when it floats in sea water. Relative densities of crude oil and sea water are $0\mathrm{.}86$ and $1\mathrm{.}02$ respectively. Assuming the barge sits level in sea water :

I$)$ Calculate the weight of the oil barge.

II$)$ Locate the metacentre of the barge when empty.