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Restating the question: How many kilograms does a gallon of milk weigh?

Its roughly the same density as water or 1 kg/liter at 4 degrees centigrade.

Since a gallon is 3.78 liters according to the milk jug.

A gallon of milk will weigh approximately 3.78 kg.

Accounting for milk fat and solids real milk will weigh slightly more. In the neighborhood of 3% more. (See the following).

Specific gravity of whole cow milk (ratio of density of milk to density of water) varies among breeds and among cows within breed. For example, mean specific gravity of Holstein milk at 20 C/20 C is 1.0330 (range 1.0268 to 1.0385) and for Ayrshire milk is 1.0317 (range 1.0231 to 1.0357), while Jersey milk also has a mean of 1.0330 (range 1.0240 to 1.0369). [see Sherbon JW, Physical Properties of Milk, Chapter 8 in Wong et al, 1988].

So lets say 3.9kg/ gal

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