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 cm`. Find the percentage error in the calculated value of the volume.

Options

A. 0.015
B. 0.025
C. 0.035
D. 0.04

Answer

B

Explanation

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%`