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Sand pile vector physics

  1. Oct 19, 2008 #1
    1- The base of a sand pile covers the region in the xy - plane that is bounded by the parabola
    x(power of 2) + y = 6 and the line y = x. The height of the sand above the point (x,y) is x(power of 2).
    a) set up the volume of sand as
    i) a double integral
    ii) a triple integral

    b) then, find the volume by using any methods you have found from a)i or a)ii

    2- let D be the smaller cap cut from a solid ball a radius 2 units by a plane 1 unit from the center of the sphere.
    a) Set up the volume of D as an iterated triple integral in
    i) cylindrical coordinate
    ii) spherical coordinate

    b) then, find the volume by using one of two triple integrals you have found from a)i or a)ii.
  2. jcsd
  3. Oct 20, 2008 #2


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    Science Advisor
    Homework Helper

    Welcome to PF!

    Hi suhaimi! Welcome to PF! :smile:

    Show us what you've tried, and where you're stuck, and then we'll know how to help. :smile:
  4. Oct 20, 2008 #3
    Re: Vector

    I have no Idea to do it. I stuck from beginning. Can you show me how to solve it
  5. Oct 21, 2008 #4


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    Staff Emeritus
    Science Advisor

    Re: Vector

    No. We can't.
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