- #1

OONeo01

- 18

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## Homework Statement

The length and radius of a perfect cylinder are measured with an RMS error of 1%. The RMS error of the inferred volume of the cylinder is.. ?

## Homework Equations

V=∏r

^{2}h

Hence dV/V=2dr/r+dh/h

## The Attempt at a Solution

I took dr/r and dh/h as 1%. So got the final answer as 2x1%+1%=3%

But the question came with 4 options(one of which is correct):

1.7%, 3.3%, 0.5% and 1%

So my answer is wrong ! What am I overlooking ? Is there any special precautions to be taken about RMS error ?