Right Cone vs Oblique Cone
A cone is a 3D shape that resembles a triangular shape with a circular base. We can classify the cones into two types based on their alignment of the vertex and the centre of the circular base:
- Right Circular Cone
- Oblique Cone
Right Circular Cone: If the centre of the circular base of the cone is perpendicular to the vertex or apex of the cone,, it is called the right circular cone.
Oblique Cone: If the centre of the circular base of the cone is not perpendicular to the vertex or apex of the cone,, it is called the oblique cone.
The image added below shows a right circular cone and an oblique cone.
We can also check the type of cone by taking a plane parallel to the base of the cone and intersecting it with the curved surface of the cone. If the intersection results in a circular shape, the cone is a right circular cone. If the intersection results in an oval shape, the cone is an oblique cone.
Right Circular Cone
A right circular cone is a 3D shape with a circular base and a curved surface that narrows to a point known as the apex or vertex. The cone’s axis is the line connecting the vertex (apex) to the centre (midpoint) of the circular base. This axis is perpendicular to the base, creating a right angle.
The volume formula for a right circular cone is V = (1/3) × πr2h, where:
- r is the radius of the base circle cone
- h is the height of the cone
This formula tells us that the volume of a cone is one-third of the volume of a cylinder with the same radius and height.
Table of Content
- What is a Right Circular Cone?
- Right Circular Cone Definition
- Right Cone vs Oblique Cone
- Properties of a Right Circular Cone
- Surface Area of a Right Cone
- Volume of a Right Circular Cone
- Frustum of a Right Circular Cone
- Equation of Right Circular Cone
- Examples of Right Circular Cone