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The height and slant height of a cone are measured as 15cms and 25cms. Errors 2% are to allowed in both of these lengths. The possible error in its volume is

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$30 π c . c$

$60 π c . c$

$100 π c . c$

$120 π c . c$

answer is D.

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Detailed Solution

$h = 15 cm, δ h = \frac{2 h}{100}; l = 25 cm \Rightarrow δ l = \frac{2 l}{100}$

$\Rightarrow v = \frac{1}{3} π r^{2} h, δ v = \frac{π}{3} (r^{2} δ h + h .2 r δ r)$

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