A heavy, inverted cylinder of length L and radius R is initially held above the surface of the ocean (density of sea water is 1030 kg/m3). The interior of the cylinder is filled with air (at a pressure of 101.3 kPa and at a temperature of 15oC). As the cylinder is lowered into the ocean (as shown in the sketch) the air within the cylinder is trapped and compressed. You may assume that the temperature of the air and of the sea water are 15oC and that they remain constant during the cylinder's lowering into the ocean. (1) Determine the mass of air within the cylinder before the air is compressed when the cylinder is submerged in the sea water. (2) Determine the distance, H, that the sea water rises within the cylinder as a function of the depth, D, of the lower edge of the cylinder. (3) Perform calculations to determine H for depths of 0, 0.25L, 0.50L and 0.75L.