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The height of a cylinder is equal to its radius. If an error of 1% is made in its height. Then the percentage error in its volume is

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answer is C.

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Detailed Solution

$h = r, \frac{δ h}{h} \times 100 = 1; v = π r^{2} h \Rightarrow v = π r^{3}$

$\Rightarrow \frac{δ v}{v} \times 100 = \frac{3 . δ h}{h} \times 100 = 3$

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