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  4. Error in the measurement of radius of a sphere is 1 %. The error in the calculated value of its volume is

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Q. Error in the measurement of radius of a sphere is $1\%$. The error in the calculated value of its volume is

Physical World, Units and Measurements

Solution:

$\because V=\frac{4}{3}\pi r^{3}$
$\therefore \%$ error is volume $=3\times\%$ error in radius
$=3\times1=3\%$