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

If a right circular cone is intersected by a plane so that the intersection goes through the cone's vertex as well as an edge of each nappe, the shape produced is a line. Not asked, but... If the angle of the plane is less than the angle of the cone, then the intersection is a point. If the angle of the plane is greater than the angle of the cone, then the intersection is two lines intersecting at the vertex. If the plane insersects at other than the vertex, then the intersection is a circle when the plane is perpendicular to the cone's axis, an ellipse when the plane's angle is less than the cone's angle, a parabola when the planes's angle equals the cone's angle, and two hyperbole's in the last case.


If a right circular cone intersects a plane that goes through both nappes of the cone but not through the vertex the resulting curve will be what?

if a right circular cone intersects a plane that goes through both nappes of the cone, but not through the vertex, the resulting curve will be a hyperbola


What transformation moves objects along a circular arc with a specified center through a specified angle?

Rotation.


A an has one circular base and a curved surface?

A sphere that has been sliced by a plane will have a circular base and a curved surface. In the special case that this plane goes through the centre of the sphere, the shape will be a hemisphere. in simple terms it would actually be a cone...


If a right circular cone intersects a plane that runs parallel to the cone's axis but does not pass through its vertex the resulting curve will be an?

hyperbola

Related Questions

What shape is produced if a right circular cone is intersected by a plane that goes through both nappes of the cone but not through the vertex?

An Ellipse


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.


If a right circular cone is intersected by a plane so that the intersection goes through the cone's vertex as well as an edge of each nappe as in the picture below what shape is produced?

When a right circular cone is intersected by a plane that passes through its vertex and touches the edge of each nappe, the resulting shape is a triangle. This triangle is formed by the intersection line extending from the vertex to the edges of the cone's surfaces, effectively creating a triangular cross-section of the cone.


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.


If both nappes of a right circular cone are intersected by a plane that does not pass through the vertex of the cone the resulting curve will be a?

It will be a hyperbola.


If both nappes of a right circular cone are intersected by a plane that does not pass through the vertex of the cone the resulting curve will be a(n)?

hyperbola


If both nappes of a right circular cone are intersected by a plane that does not pass through the vertex of the cone the resulting curve will be a(n) .?

hyperbola


What shape is the magnetic field produced when current is passed through wire?

CIRCULAR


Why is bologna shaped like a circle?

When it is produced it is processed through a tube, giving it a circular shape.


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

If a right circular cone is intersected by a plane so that the intersection goes through the cone's vertex as well as an edge of each nappe, the shape produced is a line. Not asked, but... If the angle of the plane is less than the angle of the cone, then the intersection is a point. If the angle of the plane is greater than the angle of the cone, then the intersection is two lines intersecting at the vertex. If the plane insersects at other than the vertex, then the intersection is a circle when the plane is perpendicular to the cone's axis, an ellipse when the plane's angle is less than the cone's angle, a parabola when the planes's angle equals the cone's angle, and two hyperbole's in the last case.


Describe the cross-sections that are formed when a cylinder is intersected by a plane?

In Geometry, cross-section is the shape made when a solid is cut through by a plane. The cross section of a circular cylinder is a circle. * * * * * There are also cross-sections that are ellipses or rectangles.


What is produced around a wire when an electric current flows through a wire?

A magnetic field is produced around a wire when an electric current flows through it. This magnetic field is directed along circular lines around the wire.