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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 _______ .

Correct answer

0

Step-by-step solution

V = 1 3 ( D 2 )^2 H % Error in V =2 (% error in D )+ % error in H . Least count is 2 ~mm . % error in D = 2 ~mm 20 ~cm 100 %=1 % & % error in H = 2 ~mm 20 ~cm 100 %=1 % So % error in V =2 1 %+1 %=3 %

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