Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 1 - Introduction, Measurement, Estimating - Problems - Page 18: 10


The percent uncertainty is about 14.4%.

Work Step by Step

When we multiply measurements, we can simply add the percent uncertainties. We know that the percent uncertainty of the radius is $\frac{0.04}{0.84}\times 100\% = 4.8\%$. When we calculate the volume, we use $r^3$. Therefore, we should add the percent uncertainty three times. Therefore, the percent uncertainty is $3\times 4.8\% = 14.4\%.$
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