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When a cone is sliced parallel to the base then the shape produced is a circle.

If the cone is sliced at an angle so that the cut goes completely through the cone then an ellipse is produced.

If the cut is made perpendicular to the cone's base then the shape produced is a parabola.

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10y ago
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10y ago

The following plane figures are obtained when a right circular cone is sliced by a plane.


If the slicing plane is parallel to the base of the cone you will get a circle.If the slicing plane is inclined to the base of the cone at an angle that is smaller than the incline of the cone, you will get an ellipse.

If the slicing plane is inclined to the base of the cone at an angle that is the same as the incline of the cone, you will get a parabola.

If the slicing plane is inclined to the base of the cone at an angle that is greater than the incline of the cone, you will get half a hyperbola.

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Q: What is produced when you slice a cone at different angles?
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If a right circular cone is intersected by a plane that passes through only one nappe of the cone but is not parallel to an edge of the cone what shape is produced?

An ellipse is produced.


A plane figure formed by the intersection of a double right cone and a plane?

By "double right cone" do you mean one right cone sitting normal with another right cone upside-down atop the first cone? If so, then we you take that double right cone and intersect it with a plane at different angles, you get the conic sections. (i.e. hyperbola, parabola, elipse, circle)


If a circular cone is intersected by a plane so that the intersection goes through its vertex as well as the edge of the nappe what shape is produced?

If I understand your description correctly, a line.


Right circular cone is intersected by a plane that is parallel to one edge of the cone?

I'm assuming you are looking for the name of the conic section produced by this type of intersection? If a right circular cone is intersected by a plane parallel to one edge of the cone, the resulting curve of intersection would be a parabola. If the intersecting plane was parallel to the base, it would be a circle. If the intersecting plane was at any angle between being parallel to the base and being parallel to an edge, it would produce an ellipse or part of an ellipse (depending on whether the intersection was completely within the cone).


If a right circular cone intersects a plane that runs parallel to the edge of the cone is what?

The intersection of a right circular cone and a plane that is parallel to the edge of the cone is a parabola. However, if the vertex of the cone lies on the plane, then the intersection is simply two intersecting lines.

Related questions

Produced when you slice a cone with a plane that is parallel to the base of the cone?

A circle.


What is produced when you slice a cone with a that is parallel to the base of the cone?

The interception of a plane with a cone parallel to the base of the cone is a circle.


What is produced when you slice a cone with a plane that is parallel to the bass of the cone?

The points where the cone and plane intersect will form a circle.


What is produced when you slice a cone with a plane that passes through only one nappes of the cone?

An ellipse or circle.


What is produced when you slice a cone with a plane that passes through only one nappe of the cone but that is not parallel to an edge of the cone?

The "conic section" that is produced when you slice a cone with a plane that passes through only one nappe of the cone but that is not parallel to an edge of the cone is known as an ellipse. In the case where the plane is perpendicular to the axis of the cone, the ellipse becomes a circle.


N function is produced when you slice a cone with a plane that is parallel to the base of the cone?

This kind of conic section is a circle


What is produced when you slice a cone with a plane that passes through only the nappe of the cone and is not parallel to the base?

This is called an ellipse.


Is produced when you slice a cone with a plane that passes through only one nappe but not parallel to the edge of the cone?

The general answer is an ellipse.


What is produced when you slice a cone with a plane that is parallel to the base of the cone?

That conic section is a circle.When you slice a cone with a plane parallel to the base of the cone, the sliced section is a circle, and the portion of the original cone on the side of the vertex is again a cone.An isosceles cone would be the out come


What is the produced when you slice a cone with a plane that passes through only one nappe of the cone but is not parallel to an edge of the cone?

Ellipse. (sources) internet class.


What is produced when you slice a cone with a plane that passes through only one nappe of the cone but is not parallel to an edge of the cone.?

Ellipse. (sources) internet class.


A Produced when you slice a cone with a plane that passes through only one nappe of the cone but is not parallel to an edge of the cone?

Ellipse. (sources) internet class.