Parameterizing a Cone between Z=2 and Z=3 | r(u,v) = (ucos(v), u(sin(v), u)

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SUMMARY

The discussion focuses on parameterizing a cone segment defined between the planes z=2 and z=3 using the parameterization r(u,v) = (u cos(v), u sin(v), u). The parameters are defined as u in the range [2, 3] and v in the range [0, 2π]. This formulation correctly represents the cone segment within the specified bounds, confirming its validity for the given problem.

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Lancelot59
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I'm given a problem where I need to parameterize a cone, but only the segment between two planes, being z=2 and z=3.

This is what I ended up with:

[tex]r(u,v)=(ucos(v),u(sin(v),u)[/tex]
[tex]u:[2,3][/tex]
[tex]v:[0,2\pi][/tex]

Is this right?
 
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Looks good.
 
Alrighty then, thanks.
 

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