Cone

Cone

Non-polyhedron bounded by a curved surface and a flat base.

Solid bounded by a conical surface and a plane that does not go through the intersection point of the generating lines, called the apex of the cone.

A cone is bounded by a plane surface called its base and a curved surface called its lateral surface. The vertex of a cone is called an apex.

• If the base of a cone is a circle, then the cone is a circular cone.
• If the base of a cone is an ellipse, then the cone is an elliptic cone.

Properties

 Classification of Cones Right Oblique Cones with a circular base Cones with a non‑circular base

Formulas

The formula for the surface area A of a right circular cone is A = πr(r + L), where r is the length of the circle’s radius and L is the slant height.

The formula for the volume V of a right circular cone is V = $$\frac{πr^{2}h}{3}$$, where r is the length of the circle’s radius and h is the height of the cone.

Examples

Many everyday objects have the shape of a cone: funnel paper cone cups, ice-cream cones, Christmas trees, party hats, etc.