If the radius of a sphere is (5.3 pm 0.1) ; c | vedclass

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(C) The volume of a sphere is given by the formula $V = \frac{4}{3} \pi r^3$.The relative error in the volume $V$ is given by $\frac{\Delta V}{V} = 3

Vedclass · Accepted Answer

$\left( \frac{3 	imes 0.1}{5.3} ight) 	imes 100$

Vedclass · Answer

(C) The volume of a sphere is given by the formula $V = \frac{4}{3} \pi r^3$.The relative error in the volume $V$ is given by $\frac{\Delta V}{V} = 3 	imes \frac{\Delta r}{r}$.Given the radius $r = 5.3 \; cm$ and the absolute error $\Delta r = 0.1 \; cm$.The percentage error in volume is $\frac{\Delta V}{V} 	imes 100 = 3 	imes \frac{\Delta r}{r} 	imes 100$.Substituting the values,we get: $\left( 3 	imes \frac{0.1}{5.3} ight) 	imes 100$.

If the radius of a sphere is $(5.3 \pm 0.1) \; cm$,then the percentage error in its volume will be:

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