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## Homework Statement

An experiment to measure density, d, of a cylindrical object uses the equation

d=m/(pir^2l)

where

m=mass=0.029 +-.005kg

r=radius=8.2 +-.1mm

l-length=15.4+- .1

What is the absolute uncertainty of the calculated value of the density?

## Homework Equations

above

## The Attempt at a Solution

d=.029/((pi)(8.2)^2(15.4))=8.9 * 10^-6

Relat. Uncertainty(m)=.005/.025=.172

Relat. Uncertainty(r)=(.1/8.2)+(.1/8.2)=.024

Relat. Uncertainty(l)=.1/15.4=.006

Relat. Unc(m) +Relat. Unc.(r) +Relat. Unc.(l)=.202=20.2%