XYZ coordinates for a conical body

C

chyo

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Sep 19, 2007
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I would like to set up a coordinate system for a conical body.

Let's say we use the XYZ coordinate system. Given that the height of the cone is H and radius R, and that the origin is at the centre of the circular base, and z-positive is towards the apex. The general equation I get for the cone is (H-z)^2 = (H/R)^2 * (x^2+y^2).

Can anyone confirm this? Thanks.

Also, is the XYZ coordinate system the best way to represent a conical body? I would actually be tracing the coordinates inside the conical body.
 
Has your class covered spherical or cylindrical coordinates yet...?

Thank you! :D

Eliz.
 
Yes I've covered spherical and cylindrical coordinates, thank you.

However I am setting up an XYZ grid inside the conical body. Meaning I would be tracing the coordinates inside the conical body. Using the XYZ coordinate system seems a much more straightforward option for this purpose.

Any suggestions or ideas?
 
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