From Wikipedia: On March 26, 2012, cameron reached the bottom of the challenger

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From Wikipedia: On March 26, 2012, cameron reached the bottom of the challenger Deep, the deepest part of the Mariana trench. The maximum depth recorded during this record-setting dive was 10,908 meters (35,787 ft). It was the fourth ever dive to the challenger Deep and the second drive (with a maximum recorded depth slightly less than that of trieste's 1960 dive). It was the first solo dive and the fist to spend a significant amount of time (three hours) exploring the bottom. We usually consider liquids to have constant density and ignore compressibility. However, at great depths the density of liquids can change significantly. Bulk modulus can be used to account for the influence of compressibility. Bulk modulus is defined as Ev = rho dP/d rho where the bulk modulus for seawater near 0 degree C is Ev = 2, 3375 MP a with density of rho = 1, 025kg/m3 at the In a static liquid like seawater, the pressure changes are given by dP = rho g dh where the density p now varies with depth and cannot be considered a constant. assuming constant bulk modulus, determine the density of the seawater on the floor of the Mariana Trench. assuming constant bulk modulus, determine the pressure on the floor of the Mariana Trench. assuming constant density (rho = 1,025kg/m3) determine the pressure on the floor of the Mariana Trench. plot the ratio of your predicted density and the surface density as a function of the depth (c) plot both pressure estimates as a function of depth on the same plot. plot the relative error in the pressure estimates. plot the pressure difference in atmospheres as a function of the depth. Determine the thickness of the 1.09m inside diameter pilot sphere (assume 4130 steel with ultimate tensile strength of 1, 234 M Pa and a factor of a safety)Note that although we are solving this numerically, there is an exact solution.

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