Finding the volume of the cone using cylindrical polar coordinates?

[sarubobo28]

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?

 

[clamtrox]

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.

 

[sarubobo28]

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 :)