Error PropagationMediumQuestion 5016
Question
If the error in measurement of radius of a sphere is 2%, the error in the measurement of its volume will be:
- A2%
- B4%
- C6%Correct
- D8%
Correct answer
6%
Explanation
Volume V = (4/3)πr³. Relative error in V = 3 × (relative error in r) = 3 × 2% = 6%.