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=pir^2l`
Percentage error in volume
`(triangleV)/(V)xx100=(2triangler)/(r )xx100+(trianglel)/(l)xx100`
`=(2xx(0.01)/(2.0)xx100+(0.1)/(5.0)xx100)=(1+2)%=3%`