8(a) Relative Error of Cup Capacity

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10/23/2025

Problem

The capacity of a cup is measured to be 230 mL, correct to the nearest 10 mL. Find the relative error of the measurement.

Solution

Hints:

0.0217

Maximum absolute error = \\frac{10}{2} = 5 \\text{ mL}. Relative error = \\frac{5}{230} \\approx 0.021739, which is approximately 0.0217 (to 3 significant figures).

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relative error

measurement