This section is from the book "The Tinman's Manual And Builder's And Mechanic's Handbook", by Isaac Ridler Butt. Also available from Amazon: The Tinman's Manual And Builder's And Mechanic's Handbook.
Figs. 27, 28, 29.
To find the Contents in Gallons of a Vessel, whose diameter is larger at one end than the other, such as a Bowl, Pail, Firkin, Tub, Coffee-pot, etc.
rule. - Multiply the larger diameter by the smaller, and to the product add one-third of the square of their difference, multiply by the height, and multiply that product by .0034 for Wine Gallons, and by .002785 for Beer.
Example. - Required the contents of a Coffee-pot 6 inches diameter at the top, 9 inches at the bottom, and 18 inches high.
large diameter | 9 | |
small do. | 6 | |
54 | ||
1/3 of the square | 3 | |
57 | ||
height | 18 | |
456 | ||
57 | ||
Carried up | 1026 |
brought up | 1026 |
.0034 | |
4104 | |
3078 | |
3.4884 Wine Gallons, or nearly 3½ gallons. |
1026 multiplied by .002785 equal 2.8574 Beer Gallons.
 
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