A cross section of a right circular cone is a two-dimensional shape obtained by slicing the cone perpendicular to its axis. Depending on the position of the cut, the cross section can be a circle, an ellipse, or a triangle. If the cut is made parallel to the base, the cross section will be a smaller circle. If the cut is made vertically through the apex and perpendicular to the base, it will form a triangle.
Then the cross-section is a circle or a point.
If it a right cone then it is a circle, otherwise an ellipse.
Shapes that have a circular cross-section include cylinders, spheres, and cones. In a cylinder, each cross-section parallel to the base is a circle, while a sphere has circular cross-sections at any plane that intersects it. A cone also has circular cross-sections parallel to its base, becoming smaller as it approaches the apex.
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.
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.
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.
Shapes that have a circular cross-section include cylinders, spheres, and cones. In a cylinder, each cross-section parallel to the base is a circle, while a sphere has circular cross-sections at any plane that intersects it. A cone also has circular cross-sections parallel to its base, becoming smaller as it approaches the apex.
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.
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.
It is a section of a right circular cone by a plane that is parallel to one generating line of the cone.
If a cut is made parallel to the base of a cone, the shape of the cross section is a circle. This circular cross section maintains the proportional dimensions of the cone's base, and its radius decreases as the cut moves closer to the apex of the cone. The resulting circles are similar to the base of the cone but vary in size depending on the height at which the cut is made.
A hyperbola
A parabola.