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