A point, a straight line, a circle, an ellipse, a parabola and half a hyperbola.
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A. Circle just did it on apex!
The cross section will be a triangle with base 2 feet and a vertical height of 9 feet.
The answer depends on the angle at which the axis of the cone intersects the cross-sections.
cone
Depends on the way you cut the cone, but the outline is either an ellipse or a parabola.