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It takes energy for water to be warm. Cold water is nothing more than water that lacks heat energy. I am not sure you can have a layer of hot water between two layers of cold water because the heat energy would be lost to the surrounding water molecules unless there was an active source of heat energy to keep that pocket warm with the "cold" water taking the energy through convection.
In a swimming pool the shallow water is warm and the deep water is cold so the further you get from an active heat source like the sun the colder the water will be.
When you put ice in a glass and sit it there, the liquid at the bottom is warmer than the liquid at the top because the molecules at the bottom do not contact the heatless molecules at the top. But if that glass were let's say 3 miles deep then there would be no source of heat to warm those molecules in the first place......
So I am going to say it all depends on the temperature of the air up top, the amount of sun that ever shines through the water, the absence of any geo thermal energy and water currents from warm places. If the water is still and there is no energy from the sun then you will have relatively the same temperature of water from top to bottom. the source of the most active heat removal would be at the top.
This was a great question!!!!
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