# Cone Shape

A cone is a solid object in 3-dimensions.

You wiil bo introduced to type of cone.

You will have learned what is axis of a cone and height of a cone.

You will be familiar to slant height of a cone; and the formula for the surface area and volume of a cone and how to apply it in real life.

It is easy to learn. You will enjoy it.

## Cone

A cone is a solid object formed by the set of one of the following:

connected from a fixed point on a plane to all other points on the base of another plane. The fixed point is called the apex or vertex of the cone.

A Cone showing its vertex, base and curved surface.

Case 1: For lines, the cone can be extended infinitely in both directions from the apex and as a result, two cones are formed with a common vertex.

Case 2: For rays, the cone can be extended infinitely to the base from the apex.

Case 3: For line segments, the cone cannot be extended beyond the base.

### Cone Example

## Types of Cone

In general, there are two types of cone:

- right circular cone
- oblique circular cone

### Right Circular Cone

A cone is said to be right circular if the perpendicular from the apex to the base passes through the center of the base.

### Oblique Circular Cone

For a oblique circular cone, the perpendicular from the vertex to the base passes through the point other than center of the base.

### Axis of Cone

The line segment (ray or line where applies) connected to the vertex and center of the base is called the axis of the cone.

## Height of Cone

The perpendicular distance from the apex to the base is called the height of the cone.

A cube showing its faces and edges.