1 million drops of water equals what volume?

Answer 1

Answer about 13 gallons depending on your assumptions of how many drops per gallon.

Several methods to figure this out:


1 million drops of water is 1666.667 fluid oz. There are 600 drops per fluid oz and 1,000,000 divided by 600 is 1666.667
(last digit is rounded)

1666.667 oz if about 13 U.S. gallons or if you prefer metric it is
49.289 liters

Method 2

90840 Drops in 1 Gallon ( but that value depends on water temp and other factors)

90840 Drops/1 gallon=1,000,000 drops/x gallons
90840x=1,000,000
x=11.0084 gallons
So this method gives 11 gallons and if we want to know how many cubic inches that we note that:
1 gallon of water is 231 cubic inches. So 11.0084x231=2542 cubic inches.
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I found another professor give this example:
http://jwilson.coe.uga.edu/emt668/EMAT6680.Folders/Howard/Million.Drops.of.Water/Million.Drops.of.Water.html


10 drops of water = 1 milliliter and: 10,000 drops = 1 Liter then: 1,000,000 drops = 100 Liters and my reference quoted that: 1 Gallon = 3.5 Liters, so 1,000,000 drops of water = 28.5714 gallons




Method 3
The example above 10 drops per ml, and of course you can easily imagine that the size of a drop of water will not be uniform. It depends on temperature and the dropper and many other factors.
Most people use 15-20 gtts( drops) per ml, usually 20.
So the slightly larger value in this result comes from the fact that the drops are much bigger, 10 per ml instead of 20. Divide 28.574 by 2 and the you have 14.2 gallons. Also 1 US gallon = 3.78541178 liters so using 3.5 is a low estimate.
So here is the same calculation as above using different assumptions. The example below uses 3.785 liters per gallon and 20 drops per ml.


20 drops of water= 1 milliliter
20,000 drops = 1 liter
1 gallon is 3.785 liters.
so

(20,000 drops/1 liter)(3.785 liter/1 gallon)=75,700 drops/gallon
(compare this to 90840 used in the first part above)
75,700 drops/gallon=1,000,000 drops/X gallons.
Solve for x
75,700X=1,000,000
and the answer is 100, 000 drops is 13.21 gallons