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26 August, 10:19

In attempting to calculate the carrying capacity of a cylindrical pipe, Avery measured the outer diameter to be 2 inches, neglecting to notice that the pipe was one eighth of an inch thick. By what percent did Avery overestimate the carrying capacity of the pipe?

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  1. 26 August, 13:06
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    Volume of the pipe = πr^2l

    Wrong measure = π x (2) ^2 x l = 4πl

    Correct measure = π x (2 - 2 (1/8)) ^2 x l = 49/16πl

    error = 4πl - 49/16πl = 15/16πl

    % error = ((15/16πl) / 49/16πl) x 100% = 30.6%
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