A cylindrical tank with a radius of 5 feet and a height of 10 feet is partially filled with water. If the water level is at 6 feet, what is the volume of the water in cubic feet? Additionally, if the tank is then tilted so that its height is now the hypotenuse of a right triangle formed with the water level and the base, what is the new height of the water? Let's think step by step and output the final answer within \boxed{}.
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