Barrel Gauging - Swiss
Calculate the approximate barrel volume from the difference in diameters, multiplied by the height and Pi. The calculation assumes that the barrel volume is equal to that of a cylinder with a diameter of the mid diameter minus one-third of the mid minus the end diameter. The calculator uses metres for measurements.
This formula can be found in a publication from the "Department of Public Instruction of the Canton of Geneva", of 1913.Note: The measurements used must be of the barrel's inside dimensions.
Barrel Gauging - Swiss
Calculator
- enter the top diameter in metres
- the mid diameter in metres
- the height of the barrel in metres
Results
- the volume of the barrel in cubic metres
- the barrel capacity in litres
- the capacity in US gallons
- the capacity in Imperial gallons
- number of standard size bottles (750ml)
- the number of cases from this barrel ( standard case of 12 bottles)
- the weight of the liquid inside the barrel (one litre = one kilogram)
Formula
This formula can be found in a publication from the "Department of Public Instruction of the Canton of Geneva", of 1913.V = (C/2)(C/2)(22/7)H where V is the volume C equals m(m-t)/3 m is the mid barrel diameter t is the top or bottom diameter 22/7 closely resembles Pi H the height of the barrel
Example Calculation
Calculate the volume of the barrel using the above formula.The top diameter is 0.52 metres, the mid diameter is 0.61 metres, and the height of the barrel is 0.92 metres.
0.61 - (0.61 - 0.52) ÷ 3 = 0.61 - 0.09 ÷ 3 = 0.61 - 0.03 = 0.58
C equals 0.58.
(0.58 ÷ 2) * (0.58 ÷ 2) * (22/7) * 0.92 = 0.29 * 0.29 * 3.142857 * 0.92 = 0.2431691
The barrel has a volume of 0.2431691 cubic metres.
Conversions
one cubic metre (m³) = 1000000 millilitres (ml) one cubic metre (m³) = 1000 litres (L) one cubic metre (m³) = 264.172052358148 gallons (gal) US one cubic metre (m³) = 219.969248299088 gallons (gal) Imperial
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