Question

If the error in the measurement of radius of a sphere is 1%, then the error in the measurement of volume will be :

• A. 8%
• B. 5%
• C. 3%
• D. 1%

Answer 1

The correct option is C 3%

We know that a sphere has volume $V=\frac{4}{3}\pi r^3$ meaning $V\alpha r^3$.
Thus, error in measurement of volume will be $3\times$ 1% = 3%.