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14. Differentials, Errors and Approximations
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Q4 of 61 Page 14

Mark the correct alternative in the following:

The height of a cylinder is equal to the radius. If an error of α% is made in the height, then percentage error in its volume is:


let height of a cylinder=h=radius of that cylinder=r

% error in height Δh/h×100 = a (given)


Volume of cylinder= v =(1/3)×πr2h


We have given that h=r


Then



So,


Finally



=3×a


=3a%

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Questions · 61
14. Differentials, Errors and Approximations
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