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 determina

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 _______ .

TestHub · Accepted Answer

V = 3 1 ​ π ( 2 D ​ ) 2 H ∴ % Error in V = 2 (% error in D ) + % error in H . ∵ Least count is 2 mm . ∴ % error in D = 20 cm 2 mm ​ × 100% = 1% & % error in H = 20 cm 2 mm ​ × 100% = 1% So % error in V = 2 × 1% + 1% = 3%

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