A cylindrical tank with radius 7 meters is filled with water up to a height of 14 meters. A conical object is submerged in the tank, with its vertex at the bottom and a base radius of 7 meters, and height equal to the water height. Find the volume of the remaining water in the tank after submerging the conical object. Assume the volume of the conical object displaces the water equally throughout the tank.
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