Circle: If the knife is perpendicular to the axis of the cone.
Ellipse: If the knife is between (perpendicular to the axis of the cone) and (parallel to the side of the cone).
Parabola: If the knife is between (parallel to the side of the cone) and (parallel to the axis of the cone).
Hyperbola: If the knife is parallel to the axis of the cone.
Triangle: If the knife is perpendicular to the base of the cone.
Point: If the knife is parallel to the base the cone and through the apex
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.
cone
No because it would be smaller.
The vertical cross section of a right vertical cone is a triangle if that cross section is taken from the vertex. Any other vertical cross section will reveal a hyperbola (with endpoints on the base of the cone). A link can be found below.
Circle
The answer depends on the angle at which the axis of the cone intersects the cross-sections.
If it a right cone then it is a circle, otherwise an ellipse.
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Circle
A circular cross-section.
Circular when looking up at it
cone
By definition, the circular cross-section of a cone changes linearly in width as you go along its axis. By definition, the cross-section of a prism is constant along its axis. So, by definition, a cone prism is an impossible shape.
Depends on the way you cut the cone, but the outline is either an ellipse or a parabola.
For a right cone, it is a hyperbola which becomes and isosceles triangle when the section passes through the apex.