Right circular cone

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Lower half of a cone

A right circular cone

In geometry, a right circular cone is a cone whose base is a circle and whose apex is on a line perpendicular to the plane containing the base. The apex is equidistant from all points on the circle. When the word cone is used without specifics, it often refers to a right circular cone.

Equations for right circular cones:

The Lateral area

$LA = \frac{1}{2}(2\pi r)(l)$

— the area of the side of the cone — equals the circumference of the base circle multiplied by the slant height of the cone (the distance from the apex to any point on the outside of the base).

The volume of the cone

$V = \frac{1}{3}(\pi r^2)(h)$

equals the area of the base circle multiplied by the height of the cone (the distance from the apex to the center of the base).

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Right circular cone

Equations for right circular cones:

See also: Right circular cone, Area, Circle, Circumference, Cone (geometry), Geometry, Height, Plane (mathematics), Volume