# Right Cone

## Right Cone

Cone whose base has a centre and in which the segment that joins the apex to the centre is perpendicular to the plane containing the base.

### Property

If the base of a right cone is a circle, then the cone is called a right circular cone.
If the cone is not a right cone, then it is called an oblique cone.

### Examples

• Right circular cone

• Right cone with non-circular base

• Oblique cones

### Formules

• The volume V of a right circular cone of radius $$r$$, diameter $$d$$, height $$h$$ and slant height $$a$$ is given by the equation :
$$V\space =\space \dfrac{πr^2 h}{3} \space = \space \dfrac{π}{12} d^2 \sqrt{4a^2 − d^2}$$
• The lateral area A of a right circular cone of diameter $$d$$ and height $$h$$ is given by the equation : $$A \space = \space \dfrac{πda}{2} \space = \space \dfrac{πd}{4} \sqrt{4h^2 + d^2}$$