1st. To find the Weight of an Iron Ball from its Diameter—An iron ball of 4 inches diameter weighs 9 lbs. and the weights being as the cubes of their diameters, it will be as 64, (the cube of 4,) is to 9, so is the cube of the diameter of any other ball to its weight.
2d, To find the Weight of a Leaden Ball.—A leaden ball of 4¼ inches diameter weighs 17 lbs. Therefore, as the cube of 4¼ is to 17, (as 9 to 2 nearly,) so is the cube of the diameter of any leaden ball to its weight.
3d, To find the Diameter of an Iron Ball.—Multiply the weight by 7¹/₉ and the cube root of the product will be the diameter.
4th, To find the Diameter of a Leaden Ball.—Multiply the weight by 9, and divide the product by 2; and take the cube root of the quotient for the diameter.
Table of Diameters of English Iron Round Shot.
| Nature. | 68 | 42 | 32 | 24 | 18 | 12 | 9 | 6 | 3 | 1 |
|---|---|---|---|---|---|---|---|---|---|---|
| Inches. | 8. | 6.684 | 6.105 | 5.547 | 5.040 | 4.403 | 4.000 | 3.498 | 2.775 | 1.92 |
Diameters of French Iron Round Shot
in English Inches.
| Nature. | 36 | 24 | 16 | 12 | 8 | 7 |
|---|---|---|---|---|---|---|
| Inches. | 6.648 | 5.808 | 5.074 | 4.610 | 4.027 | 3.196 |
Table of English Case Shot for different Services.