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.
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
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.
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