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Finding the volume of the cone using cylindrical polar coordinates?

  1. Mar 27, 2012 #1
    The cone centre is the z-axis and has base ρ=1 and height z=1,
    I'm looking at the lecture notes and it says the limit φ=0 to 2pi, z=0 to 1,
    ρ=0 to (1-z).
    Could someone tell me where the (1-z) comes from please?
    Why is it not 0 to 1?
  2. jcsd
  3. Mar 27, 2012 #2
    On the cone surface, ρ and z are related through ρ+z=1. This is the defining equation for that surface. 0 to 1 would define a cylinder, which is equally wide in top and bottom.
  4. Mar 27, 2012 #3
    I see, thank you I get it now :)
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