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From the given we notice that , therefore the given equation represents a half-cone.
The spherical coordinate points of are
where represents the distance from the origin to , denotes the same angle as in cylindrical coordinates, and is the angle between the positive -axis and the line segment .
To convert from spherical to rectangular coordinates we use the following equations:
is a double cone, however, since the original equation , it's the upper half of the double cone.
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