The base of a cone is a circle, and circle have an infinite amount of sides
An infinite cone.
An infinite cone.
I Love math* * * * *An infinite cone.
The surface of an infinite cone.
The base of a cone is a circle, and circle have an infinite amount of sides
Mathematically, a cone is infinite and so has no flat surface. The popular cone is actually a truncated cone and does have 1 flat surface.
An infinite cone.
An infinite cone.
I Love math* * * * *An infinite cone.
The surface of an infinite cone.
If it is a right circular cone, it has an infinite number of planes of symmetry. If it is an oblique circular cone, it has one plane of symmetry.
Any plane that bisects a cone passing through the pointy tip and the diameter of the base i.e. through the axis of the cone, will be a plane of symmetry. Since any plane passing through the cone this way can be rotated by any angular increment and still remain a plane of symmetry, there are an infinite number of planes of symmetry.
An infinite number of curved sides
An infinite of infinitely small ones. You would need to use calculus to calculate the volume of a cone given a single triangular cross-section.
The shape that is commonly known as a cone has two faces, one vertex and one edge. Mathematically, however, the cone has infinite height and so has one [curved] face and one vertex.
Conics, or conic sections, are the intersection of a plane with an infinite double cone. If that plane cuts both cones, it is a hyperbola. If it is parallel to the edge of the cone, you get a parabola. If neither is the case, it is an ellipse. The ellipse is also a circle if the plane is perpendicular to the altitude of the cone. Note that none of these are the case if the plane passes through the vertex of the cone.