I did a Civil Engineering course some years ago and from my textbook I had this question. I found that a very interesting question, but unfortunately I haven't been able to find a solution to this. I encourage people to put comments up, but ideally I would be appreciative if the comments are related as to how you do the calculation process to get to the answer.
The half ordinates of the contour of the load water plane of a ship of 2,800 metric tons displacement, measured at intervals of 6 m, are 0.30, 3.33, 5.07, 6.18, 6.75, 6.90, 6.75, 6.18, 5.61, 4.47, 0.60 m respectively. If the centre of gravity is 1.87 m above the centre of buoyancy, calculate the transverse metacentric height. Sea water has a density of 1,025 kg/m^3.
Also, just wondering how you would best Explain the relation between metacentre and curve of buoyancy as vessel heals over.