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March 15th, 2009, 04:28 PM   #1
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Spherical Coordinate Problem

I have been studying for a midterm coming up this Thursday in my Calculus class but I'm not particularly good with spherical coordinates. On the study guide he gives this problem:

----> Convert to spherical coordinates and sketch.

Given that:




in a spherical system, I plugged the spherical equivalents and came up with:




So from this I thought it must be a right circular cone making an angle of declination of between the positive z-axis and the xy-plane but in my book, a similar problem,
says its a double cone (eg the type conic sections are derived from). Could anyone explain to me why this?
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March 15th, 2009, 05:46 PM   #2
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Re: Spherical Coordinate Problem

Because phi is plus or minus?
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March 15th, 2009, 05:51 PM   #3
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Re: Spherical Coordinate Problem

Oh wow just duh. I don't know why I had it in my head that was between the positive z-axis and the negative portion of the xy-plane. I'm still getting used to 3D. Thanks.
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