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Sugar water is denser than plain water. A saturated solution -- it will not absorb one more gram of sugar -- is about 1.83 grams per milliter. Whole milk's density is 1.034 grams per milliliter. Thus a full jug of milk (assuming a thin plastic jug, not a heavy glass container, and no air in the jug) would float on sugar water. How far it would sink depends on the concentration of the sugar solution.

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