Howdy; If ya feel abit mathimatical...
Borrowed this from Bob's Blackpowder Notebook:
Substitute your Ball measurments for those used in the example an off ya go...
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Weight of a Roundball (Long Method) If the diameter of a roundball is known, the weight can be calculated. Using the .3950 in. ball from the exercise above, we proceed to:
1) Convert inches to centimeters:
Diameter = .395 in. x 2.54 centimeters per inch
Diameter = 1.0033 centimeters
2)Extract the radius:
Radius = Diameter divided by 2
Radius = 1.0033 divided by 2
Radius = .5017 cm
3) Cube the Radius:
Radius cubed = (.5017)3
Radius cubed = .1263 cubic centimeters
4) Then:
Radius = cube root of .1263
Radius = Cube root of (3 x Vol.) divided by (4 x pi)
.1263 = (3 x Vol.) divided by (4 x pi)
.1263 = (3 x Vol.) divided by 12.566
3Vol. = .1263 x 12.566
3Vol = 1.5868
Vol = 1.5868 divided by 3
Vol. = .5289 centimeters cubed
5) Find the Weight in grams:
Since Volume x Mass = Weight
.5289cc x 11.34 gm/cc = 5.9982 grams
6) Convert grams to grains:
5.9982 grams x 15.4324 grains/gram = 92.57 grains
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Weight of Round Ball (Short Method) A short-cut method of determining the weight (W) of a roundball when the diameter is known involves the use of a constant.
W = 1502.6 x (Diameter x Diameter x Diameter)
Example for a .395 roundball: W = 1502.6 x .395 x .395 x .395 = 92.6 gr.
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Have fun