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Volume of a cone using spherical coordinates with integration

  1. Jan 30, 2013 #1
    Find the volume of a cone with radius R and height H using spherical coordinates.


    so x^2 + y^2 = z^2
    x = p cos theta sin phi
    y= p sin theta sin phi
    z= p cos phi

    I found theta to be between 0 and 2 pie
    and phi to be between 0 and pie / 4.
    i don't know how to find p though. how would i do this.
     
  2. jcsd
  3. Jan 30, 2013 #2

    haruspex

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    That does not fit the given dimensions.
    After correcting the equation for the cone, consider the coordinates of a point at the circumference at the widest part of the cone.
     
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