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. `1%`
B. `2%`
C. `3%`
D. `4%`

Answer

C

Explanation

Volume of cylinder `V= pi r^(2)l`
percentage error in volume
`(Delta V)/(V) xx 100 = (2Delta r)/(r ) xx 100+ (Delta l)/(l) xx 100`
`= (2 xx (0.01)/(2.0) xx 100 + (0.1)/(5.0) xx 100)`
`= (1 + 2)% = 3%`