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Axis of cone

Updated: 4/28/2022
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A cone's axis is the distance from its vertex. Typically, the axis passes through the center of the base of the cone.

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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


Which solid figure has only one face?

cone +++ A sphere or other full solid of revolution generated about either axis where the curve meets that axis in 2 places, and those intercepts are the solid's poles. (A cone has 2 faces)


What figure is formed by the intersection of a cone?

The most interesting intersections of cone are its planar sections (intersections with a plane). These sections are called "conic" The figures can be 1) dot - for plane going through apex 2) two lines - for plane containing cone axis 3) one line - for plane going through apex and touching the cone 3) circle - for plane orthogonal to cone axis 4) ellipsis - for plane that intersects the cone axis and generating lines 5) parabola - for plane parallel to a generating line 4) hyperbola - other cases See wikipedia's "conic section" article


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

circle


What is a cone in 2D?

It depends on your the inclinantion of the plane which is used to "slice" the cone. The answer can be a circle, ellipse, parabola, hyperbola or two intersecting lines. These (apart from the last) are known as conic sections. In terms of the 2-d figure that generates a cone, the answer is a straight line, with a non-zero slope, rotated about the x-axis.

Related questions

What is a cross section of a cone?

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


Cutting section of cone in ellipse?

Tilt of cutting plane is between (perpendicular to axis of the cone) and (parallel to the side of the cone).


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

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 is a pair of hyperboles.


If a right circular cone intersects a plane that runs perpendicular to the cone's axis What is the curve?

Helix


What is the parallel cross section of a cone?

The answer depends on the angle at which the axis of the cone intersects the cross-sections.


What is a circle shape cut from a cone?

It is a section formed by a plane at right angles to the axis of the cone.


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

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


How does a pine seed get out of a pine cone?

On ripening of seeds the cone axis alongates and the seeds get out by wind velocity


If a right circular cone intersects a plane that runs perpendicular to the cone's axis the resulting curve will be?

a circle


If a right circular cone intersects a plane that runs parallel to the cone's axis the resulting curve will be a?

ellipse


Does a cone have perpendicular lines?

The axis of a right circular cone is perpendicular to every radius or diameter of the base.


If a right circular cone intersects a plane that runs perpendicular to the cone's axis the resulting curve will be a?

Circle.