Modeling with differential equations

  • #1

Homework Statement



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.

Homework Equations



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:

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