Question

If error in measurement of radium of a sphere is 1%, what will be the error in measurement of volume?

• A. $1$
• B. $\frac{1}{3}$
• C. $3$
• D. None of these

Answer 1

The correct option is C $3$

V = volume $=4/3\pi R^3$

$\frac{\Delta V}{V}=\frac{3\Delta R}{R}\times 100$

$=3\times \frac{1}{100}\times 100$

$\frac{\Delta V}{V}=3$