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. 0.02
B. 0.01
C. 0.03
D. 0.04

Answer

C

Explanation

`V=pir^(2)h=(piD^(2)h)/(4)rArr(DeltaV)/(V)=(2DeltaD)/(D)+(Deltah)/(h)`
`(DeltaV)/(V)xx100=[2xx((0.01)/(2.00))+((0.1)/(5.0))]xx100=3%`