Question

The error in the measurement of the radius of a sphere is $1\%$. Find the error in the measurement of volume ?

Answer 1

Error in radius $1$%

Volume of sphere $=\frac{4}{3}\Pi R^3$

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

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

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

error in volume $=3$%