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Write the density and its associated uncertainty of a cylinder

  1. Jul 27, 2012 #1
    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
     
  2. jcsd
  3. Jul 27, 2012 #2
    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
     
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