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The length of a cylinder is measured wit...

The length of a cylinder is measured with a meter rod having least count 0.1 cm. Its diameter is measured with vernier calipers having least count 0.01 cm. Given that length is 5.0 cm. and radius is 2.0 cm. The percentage error in the calculated value of the volume will be

A

0.015

B

0.025

C

0.035

D

0.04

Text Solution

Verified by Experts

The correct Answer is:
B
Volume of cylinder
`V=pir^(2)L,r=((D)/(2))`
`therefore" "((DeltaV)/(V))xx100=2((DeltaD)/(D))xx100+((DeltaL)/(L))xx100`
`" "=2((0.01)/(4.0))xx100+((0.1)/(5))xx100=2.5%`
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