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Calculate variation in volume using given Poisson's ratio

  1. Nov 22, 2015 #1
    1. The problem statement, all variables and given/known data: A cylinder is elongated by 2% of its original length. If Poisson's ratio of its material is 0.3. Calculate the percentage variation in volume.

    2. Relevant equations
    V = πr^2l
    η= 0.3= Δl/l/Δr/r

    3. The attempt at a solution
    I tried using calculus to differentiate V to find change in volume and then divided it by the given volume but could not find and answer as r^2 was left.
  2. jcsd
  3. Nov 22, 2015 #2


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    I think you have the definition of Poisson's ratio wrong. It should be the other way up and negated: ##-\frac{\Delta r/r}{\Delta l/l}##.
    Please post your working.
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