Answer
The answer is below.
Work Step by Step
We know that the maximum load is equal to quantity of the difference between the cross sectional area of the ship and that of the triangle with height $h_0$ multiplied by the length of the ship, L, and the density of water, $\rho$. Thus, we find:
$ A = h^2 tan \theta$
This means:
$m = \rho L (h_0^2 - h_1^2)tan \frac{\theta}{2}$
