How much amount of water is used to raise a cow?

This is an extremely, not to mention impossible question to answer since we do not know anything about this animal, from the size, weight and sex (breed may also play a part)to what environment it lives in, the age at which slaughter weight is determined, the types of feed it ate nor the stressors this animal has gone through during its short life. Water intake never remains the same throughout a growing animal's life from birth to slaughter weight because of the various stresses and climatic conditions it may have been subject to. These change the water intake of the animal day to day. Therefore, a number which some may want to pull out of thin air may be highly skewed to the point where it is far more incorrect, way off base or vastly over- or under-estimated than they think!

Thereford, this question cannot be answered as such without much more further information.