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Option 1: This statement is incorrect. The volume of water displaced by an object is determined by the object`s weight and the density of the water, not by the pressure acting on the bottom area.
Option 2: This statement is also incorrect. The amount of water displaced by an object is not determined by the depth to which it is submerged, but rather by its weight and the density of the water.
Option 3: This statement is incorrect as well. The volume of water displaced is not determined by the submerged end`s area, but rather by the weight and density of the object.
Option 4: This is the correct statement. When two identical blocks of ice float in water, they displace the same volume of water. This is because the buoyant force on each block is equal to the weight of the water displaced, and the buoyant force is also equal to the weight of the block. Therefore, since the blocks have the same weight, they displace the same volume of water.
Alert - correct answer should be 2: This is not the correct answer as mentioned in the provided explanation. The correct statement is option 4.