Quandaries
and Queries |
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Hello, this is Brandon, a student attending the University of Minnesota. My question is a college-level problem, and it is as follows. Find the equation of a double cone with vertex (1,1,2) and which intersects the xy plane in a circle of radius 4. If you could please write your answer in the form R I have had difficulty finding information on the web for variations of a double cone; your help is much appreciated. Thank You very much. |
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Hi Brandon, I am going to assume that you are looking for a circular cone given that you have the standard as z
where (a, b, c) is the vertex of the cone. Again, since you are looking for a circular cone, for each fixed value of z, the graph is a circle so you must have A = B. Thus
A connot be zero so to simplify even further divide both sides by A to get
Where D = Can you finish it now? Penny |