The dimensions of a cone are measured using a scale with a least count of 2 mm . The diameter of the

Question

The dimensions of a cone are measured using a scale with a least count of 2 mm . The diameter of the base and the height are both measured to be 20.0 cm . The maximum percentage error in the determination of the volume is ________ .\

Professor PC Thomas Classes · Answer

(3) : $V=\frac{1}{3} \pi r^{2} h ; V=\frac{1}{3} \pi 	imes \frac{D^{2}}{4} . h$\ $V=\frac{1}{12} \pi D^{2} h$\ $\frac{d V}{V} 	imes 100=\left(\frac{2 . d(D)}{D}+\frac{d h}{h}ight) 	imes 100$\ $=\left(2 	imes \frac{0.2}{20}+\frac{0.2}{20}ight) 	imes 100=3 \%$\