Q. Find the error in the calculated value of the volume of a sphere, if the error in the measurement of radius is $1\%$ .
NTA AbhyasNTA Abhyas 2020
Solution:
Volume of a sphere is given as $V=\frac{4}{3}\pi r^{3}$
$\therefore \%$ error is volume $=3\times \%$ error in radius $=3\times 1=3\%$
$\therefore \%$ error is volume $=3\times \%$ error in radius $=3\times 1=3\%$