A diving bell in the shape of a cylinder with a height of 2.00 m is closed at the upper end and open at the lower end. The bell is lowered from air into sea water (= 1025 kg/m3). The air in the bell is initially at 18.0°C. The bell is lowered to a depth (measured to the bottom of the bell) of 46.0 fathoms or 84.1 m. At this depth the water temperature is 4.0°C, and the air in the bell is in thermal equilibrium with the water.
How high does sea water rise in the bell?