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Modeling with differential equations

  1. Jan 27, 2009 #1
    1. The problem statement, all variables and given/known data

    A hemispherical bowl 4 feet in diameter is full of a liquid. Show that the bowl empties through an orifice in the bottom, of one square inch effective cross section, in a little than five minutes.

    2. Relevant equations

    3. The attempt at a solution

    My problem is where to even really begin. My guess is to start with the formula equation rate of outflow and rate of change of liquid, A(h)(dh/dt) = -αa*sqrt(2gh). But where do I go after that?

    Edit: I just figured it out. It's just a variable separable. Sorry. n/m
    Last edited: Jan 27, 2009
  2. jcsd
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