Then the cross-section is a circle or a point.
If it a right cone then it is a circle, otherwise an ellipse.
A right circular cone is perfectly balanced on its circular base. Imagine a cone that has a circular base, but leans to one side - this is a non right circular cone.
It is a section of a right circular cone by a plane that is parallel to one generating line of the 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.
Then the cross-section is a circle or a point.
A circular cross-section.
Circular when looking up at it
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.
If it a right cone then it is a circle, otherwise an ellipse.
If your question is "What is the cross-section of the intersection?" then the answer is "A circle." Otherwise, I can't make sense of the question.
A right circular cone is perfectly balanced on its circular base. Imagine a cone that has a circular base, but leans to one side - this is a non right circular cone.
It is a section of a right circular cone by a plane that is parallel to one generating line of the 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.
A hyperbola
A parabola.
A right circular cone balanced on its apex.A right circular cone balanced on its apex.A right circular cone balanced on its apex.A right circular cone balanced on its apex.