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The wine gallon, which some sources relate to the volume occupied by eight medieval merchant pounds of wine, was at one time defined as the volume of a cylinder 6 inches deep and 7 inches in diameter, i.e. 6 in × (3 + 1 / 2 in) 2 × π ≈ 230.907 06 cubic inches.
The area required to calculate the volumetric flow rate is real or imaginary, flat or curved, either as a cross-sectional area or a surface. The vector area is a combination of the magnitude of the area through which the volume passes through, A , and a unit vector normal to the area, n ^ {\displaystyle {\hat {\mathbf {n} }}} .
The statute standardized weight, length and volume as well as introduced the peny, ounce, pound, gallon and bushel. [ 4 ] : 73–74 In 1618, the London Pharmacopoeia (medicine compound catalog) adopted the Roman gallon [ 8 ] or congius [ 9 ] as a basic unit of volume and gave a conversion table to the apothecaries' units of weight. [ 8 ]
The Winchester bushel is the volume of a cylinder 18.5 in (470 mm) in diameter and 8 in (200 mm) high, which gives an irrational number of approximately 2150.4202 cubic inches. [4] The modern American or US bushel is a variant of this, rounded to exactly 2150.42 cubic inches, less than one part per ten million less. [ 5 ]
The US fluid ounce is based on the US gallon, which in turn is based on the wine gallon of 231 cubic inches that was used in the United Kingdom prior to 1824. With the adoption of the international inch, the US fluid ounce became 1 ⁄ 128 gal × 231 in 3 /gal × (2.54 cm/in) 3 = 29.573 529 5625 mL exactly, or about 4.08% larger than the ...
British imperial measures distinguish between weight and volume. Weight is measured in ounces and pounds (avoirdupois) as in the U.S. Volume is measured in imperial gallons, quarts, pints, fluid ounces, fluid drachms, and minims. The imperial gallon was originally defined as 10 pounds (4.5359 kg) of water in 1824, and refined as exactly 4.54609 ...
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In 1824, these units were replaced with a single system based on the imperial gallon. [a] Originally defined as the volume of 10 pounds (4.54 kg) of distilled water (under certain conditions), [b] then redefined by the Weights and Measures Act 1985 to be exactly 4.546 09 L (277.4 cu in), the imperial gallon is close in size to the old ale gallon.