Finding the volume of the cone using cylindrical polar coordinates?

  • Thread starter sarubobo28
  • Start date
  • #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?
 

Answers and Replies

  • #2
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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.
 
  • #3
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.
I see, thank you I get it now :)
 

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