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Cone
A solid that has a circular base and a single vertex.

A cone is a solid that has a circular base and a a single vertex. If the vertex is over the center of the base, it is called a right cone. If it is not, it is called an oblique cone. An object that is shaped like a cone is said to be 'conical'.

Volume of a cone

The volume of a cone is given by the formula where r is the radius of the circular base, and h is the height - the perpendicular distance from the base to the vertex.

For more on this see Volume of a cone

Surface area of a cone

The surface area of a cone is given by the formula

Where r is the radius of the circular base, and s is the slant height of the cone.

For more, see Surface area of a cone

Right and Oblique cones

  • If the apex is directly over the center of the base as it is above, it is called a right cone.
  • If the apex is not over the center of the base, it is called an oblique cone. See Oblique cone definition.

Relationship to a pyramid

Another way to think of a cone is as a pyramid with an infinite number of faces.

For more on this see Similarity of cones and pyramids.

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