## Write the density and its associated uncertainty of a cylinder

1. The problem statement, all variables and given/known data

Need to find the volume and density of a cylinder with measurements, height=0.03378m diameter=0.01876m and mass=7.99g +/- 0.01 kg
And also its associated uncertainties.
2. Relevant equations

V=L*Pi*R^2
=0.00000933716m^3

p=M/V
=0.0000008288

3. The attempt at a solution

V=L*Pi*R^2
=0.03378*Pi*0.01876^2
=0.00000933716m^3
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 This is what i have for the uncertainty so far. ΔZ=ΔX*Y+ΔY*X Z=P X=M Y=V ΔP=0.01(9.337)+0.01(7.99) =0.17 ΔZ/Z=ΔX/X+ΔY/Y ΔZ=(0.01/7.99+0.01/9.337)*0.856 =0.002

 Tags cylinder, density, help 1st year, uncertainties, volume

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