+

# Circular cone

Given a circle Çcontained in a plan , and a point V (vertex) outside of we call circular cone the set of all segments .

## Circular Cone Elements

Given the following cone, we consider the following elements:

• height: distance H from the vertex V to the plan .

• generator (g): segment with one end at the point V and another at a point in the circumference.

• rotation axis: straight determined by the center of the circle and the vertex of the cone.

## Straight cone

Every cone whose axis of rotation is perpendicular to the base is called straight cone, also called revolution cone. It can be generated by the complete rotation of a right triangle around one of its collars.

From the figure, and from the Pythagorean Theorem, we have the following relation:

 g2 = h2 + R2

## Meridian section

The section determined in a cone of revolution by a plane containing the axis of rotation is called meridian section.

If the AVB triangle is equilateral, the cone will also be equilateral:

Next: Cone Area and Volume