Compressing water and steel in the sea

How much is water squeezed in the deep sea, and how much is a steel probe squeezed? You will make the program find the pressure at every depth down to the deepest trench, the fraction of volume each loses, and the depth at which water has lost $1\%$.

The idea. The extra pressure is $p = \rho gh$. Each material loses the fraction $\dfrac{\Delta V}{V} = \dfrac{p}{B}$ of its volume.

Your tasks.

1. Work out the pressure p at every depth in h.
2. Work out the fraction of volume lost by water and by steel at every depth.
3. Find the depth at which water has lost $1\%$ of its volume.