Cone Volume Problem

Cone Volume Problem

Postby JimmyTheBroker » Thu Nov 07, 2019 9:02 am

Hi Guys,

Let me explain my problem, and hopefully you can help me come to a solution.

I have been asked to model a Calcium Sulfate dihydrate stockpile (A cone shape) that is washed with water to remove impurities of MgCl2 and KCl. My job is to determine how much water should be used given a size of a stockpile to maximize the removal of impurities but minimize the amount of water used.

Does anyone have any ideas?

Some ideas I have/assumptions I think I should use:

  • The angle of the cone surface is always going to be the same, no matter how big the stockpile is (because of the friction forces of the particles and S.G being the same)
  • I believe the water source may poured onto the stockpile off-center (not directly above the maximum of the Cone shape but on it's side)
  • I should work out the volume of the cone that interacts with the water verses the volume of the total cone.

Does anyone know how to how to work out of the volume of a cone from a point on the surface defined by a function until it hits the circular base?

If anyone has any ideas, or any good references. That would be awesome.

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