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Expressing Uncertainty

  1. Nov 18, 2015 #1
    Hello, I am working on a lab report and am unsure about how to express the uncertainty of one of my calculations.

    I am calculating the volume of a cylindrical disk with
    height = 0.0258 ± 0.0001 m
    radius = 0.0767 ± 0.0002m
    Using V=π(r^2)h and the upper/lower bound method, I find:
    V= 0.000476205
    Uncertainty = ± 0.00000309393
    V =4.76⋅10^-4 ± 3.09⋅10^-6

    How would I properly express this uncertainty since it is out more decimal places than my answer?
    Last edited: Nov 18, 2015
  2. jcsd
  3. Nov 18, 2015 #2


    User Avatar

    Staff: Mentor

    I would use
    V = 4.76×10-4 ± 0.03×10-4 m3
    or (even better in my opinion)
    V = (4.76 ± 0.03) × 10-4 m3
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