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Homework Help: Finding mass and center of mass of solid

  1. Mar 31, 2013 #1
    1. The problem statement, all variables and given/known data

    Find the mass and the center of mass of the solid E with the given density function ρ(x,y,z). E is bounded by the parabolic cylinder z = 1 – y2 and the planes x + 4z = 4, x=0, and z=0; ρ(x,y,z) =6.

    2. Relevant equations

    z = 1 – y2 and the planes x + 4z = 4, x=0, and z=0; ρ(x,y,z) = 6.

    3. The attempt at a solution

    I got m = 96/5 but I'm not sure how to figure out x,y and z.
  2. jcsd
  3. Mar 31, 2013 #2


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    What is the definition of the centroid of a solid body?
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