The measurement that is accurate is one that is precise. These are also commonly titled accurate measurements in the books.
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A measurement that can be repeated by an independent person or team of investigators.A measurement that includes the margin of error and resolution of the measuring equipment.
It uses smaller segments of measurement making it more accurate
Imagine a dartboard. An accurate measurement would be analogous to hitting the bulls-eye. While a precise measurement is just the tight clustering of shots.
The glassware that provides the most accurate measurement of volume is the measuring cup. A glass measuring cup has lines on it to give an accurate reading.
If you measure properly, the amount of water does not change. Measurement with whatever graduated cylinder you choose will not alter the amount of liquid measured. Most people choose to measure once with a larger one, but if the amount of liquid falls between the measurement lines, you can measure the "leftover" with a smaller cylinder and find the exact answer.