The length of a cylinder is measured with a m | vedclass

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(C) The volume of a cylinder is given by $V = \pi r^2 l$.The relative error in volume is given by $\frac{\Delta V}{V} = 2 \frac{\Delta r}{r} + \frac{\

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$3$

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(C) The volume of a cylinder is given by $V = \pi r^2 l$.The relative error in volume is given by $\frac{\Delta V}{V} = 2 \frac{\Delta r}{r} + \frac{\Delta l}{l}$.Given:Length $l = 5.0 \, cm$,$\Delta l = 0.1 \, cm$.Radius $r = 2.0 \, cm$,$\Delta r = 0.01 \, cm$ (since the least count of the vernier caliper applies to the diameter,the error in radius is the same as the least count of the instrument,$0.01 \, cm$).Percentage error in volume = $\left( 2 \frac{\Delta r}{r} + \frac{\Delta l}{l} ight) 	imes 100$.$= \left( 2 	imes \frac{0.01}{2.0} 	imes 100 + \frac{0.1}{5.0} 	imes 100 ight) \%$.$= (1 + 2) \% = 3 \%$.

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