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Try the following links (in the Related Links section below).
The Operations Section Chief:
length = volume/cross-section
The vertical cross section of a right vertical cone is a triangle if that cross section is taken from the vertex. Any other vertical cross section will reveal a hyperbola (with endpoints on the base of the cone). A link can be found below.
You cannot have a 2d cylinder. The 2d cross section will depend on the plane of the cross section.