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Homework Help: Multiple Integrals

  1. May 14, 2010 #1
    1. The problem statement, all variables and given/known data

    A hemispherical piece of ore of radius a contains flakes of gold. The flat base
    of the ore is in the x, y plane and its curved surface is in the region z > 0,
    where x, y, z are cartesian co-ordinates with origin at the centre of the base.
    The gold density is kz kg m−3, where k is a constant. What is the total mass
    of gold in the ore?

    2. Relevant equations

    3. The attempt at a solution

    Using multiple integrals I got an answer of (pika4)/4 kg.

    Can someone please check if this is the correct answer.

    Thanks a lot. A simple yes or no will do.
  2. jcsd
  3. May 14, 2010 #2


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    Homework Helper
    Gold Member

    Looks good to me!:smile:
  4. May 14, 2010 #3
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