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Volumetric measurements are obtained from mass measurement of known density materials. The volume calibrations are either by a gravimetric method (weighing procedure) or by a volume transfer (comparative) method. For precise determination of the capacity of volumetric measures, the gravimetric method is used. In this method the capacity is determined by weighing the volume of distilled water that the vessel contains. We already know from mass metrology that, as the measurements are made in air, corrections will need to be made for air buoyancy, etc. In addition, the effects of temperature, local gravity and atmospheric pressure will also need to be applied.
The uncertainty of measurement will vary depending upon the balance used, the purity of the water, the ability to make accurate temperature measurements, the nominal value of the volume standard being calibrated/tested and the ability to make adequately accurate mass measurements.
There is a good book that covers in detail the various aspects of volume and capacity measurements, titled - Comprehensive Volume and Capacity Measurements - ISBN 81-224-1819-8, 9788122418194.
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