Well, the calculation is actually pretty simple. The volume of a 1" cylinder is Pi times the pot diamter squared, divided by 4. (Remember Pi R Squared is the area of a circle and the diameter is twice the radius, R.) This equation gives the result in cubic inches and each gallon is 231 of them. Here's a table of the results.
Pot Diameter in Inches | Volume in Cubic Inches | Quarts, Rounded to 1/2 |
6 | 28.27 | 0.5 |
9 | 63.62 | 1.0 |
12 | 113.10 | 2.0 |
15 | 176.71 | 3.0 |
The surprising thing to me is that other than our really big pots, most would do just fine with a half gallon of water.
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