(7 points) Deep sea oil rigs often have gigantic chambers that go vertically down all the way to the seafloor. The chambers are sealed well enough to evacuate the water and pump in air so that people can work at the bottom of the ocean without special equipment. In one case there are two vertical chambers, left (L) and right (R), that are connected by a horizontal chamber on the seafloor. The horizontal chamber has a circular door, with a radius of 1.1 meters, which can isolate both sides from each other. During an accident, a hole is punctured on the right chamber and water flows in. Due to high salinity, seawater has a density of 1024 kg/m. The door at the bottom is closed after water on the left chamber reaches a height of dL, but water still flows into the right chamber and is at a height of dr. The latch on the door will break once the force on the door reaches 3.815 x 106 N. How much higher is the water column on the right side than the left side when the door latch breaks? Assume the drawing is not to scale. d I L R dr