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The apex angle of the cone is the angle that the apex takes. This is measured by the two intersections the cone takes through a perpendicular plane defined by the apex and the center of the circular base.

Q: What is cone angle?

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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, 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.

there are 2 Faces on a cone, there is a technically immeasurable amount of corners, because the ca just keep cutting the angle finer and finer on the circular end and making more corners. though you'll get your bottom whipped if you say this to your teacher, the amount of vertexes on a cone is: 1+(∞)

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

A 2d cone is called a Light Cone. <edit: Isn't it called a circle sector?>

A sphere sliced by a plane; or a cone.

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The apical angle of a cone is the angle formed at the apex (or tip) between the two sloping sides of the cone. It is also known as the vertex angle. The value of the apical angle determines the shape of the cone - a smaller apical angle will result in a more acute cone, while a larger apical angle will produce a more obtuse cone.

a cone has a right angle

It could. If the nose is a right angle, it would be wide but a cone.

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.

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.

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

Apex (Angle)The apex is the pointed tip of a cone. The apex angle is the angle between the lines that define the apex, as shown to the left.

Cannot. If you do not know the angle of the cone, you cannot determine its height.

A cone does not have right angles.

A cone shown in a circle

There are no 90 degree angles in a cone. This capital 'L' shows an example of a right angle.

In general the volume of any cone is: 1/3*pi*radius2*height