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Q.

The radius and height of a cone are measured as 6cms each by scale in which there is an error of 0.01 cm in each cm. Then the approximate error in its volume is

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a

21.6πc.c

b

0.216πc.c

c

216πc.c

d

2.16πc.c

answer is B.

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Detailed Solution

r=h=6cm⇒δr=δh=6(0.01)=0.06cm⇒V=13πr3⇒ΔV=πr2Δr ∵V=13πr2h=π×36×0.06=2.16π Hence option (B) is correct. 

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The radius and height of a cone are measured as 6cms each by scale in which there is an error of 0.01 cm in each cm. Then the approximate error in its volume is