Percentage Error in Volume from Radius Error – Rankers Physics
Topic: Unit And Dimensions
Subtopic: Error Analysis

Percentage Error in Volume from Radius Error

The error in measurement of radius of a sphere is 0.1% then error in its volume is:
0.3%
0.4%
0.5%
0.6%

Solution:

Volume of a sphere \(V = \frac{4}{3}pi r^3\). The percentage error in volume is (3) times the percentage error in radius. Given \(\Delta r/r times 100% = 0.1%\). So, Percentage error in \(V = 3 \times 0.1% = 0.3% \).

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