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'.

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

The surface area of a cone is given by the formula

Where *s* is the
slant height of the cone.

For more, see Surface area of a cone

- 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.

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.

- Definition and properties of a pyramid
- Oblique and right pyramids
- Volume of a pyramid
- Surface area of a pyramid

- Cylinder - definition and properties
- Oblique cylinders
- Volume of a cylinder
- Volume of a partially filledcylinder
- Surface area of a cylinder

- Definition of a cone
- Oblique and Right Cones
- Volume of a cone
- Surface area of a cone
- Derivation of the cone area formula
- Slant height of a cone

(C) 2011 Copyright Math Open Reference.

All rights reserved

All rights reserved