A cone has _________ number of vertices.

Solution

A cone is a 3D geometric shape with a circular base and a pointed tip called the apex. It is formed by connecting all the points on the circular base to the apex.

Key Characteristics of a Cone:

1. Base: A circular region.
2. Apex: A single point where all lines from the base converge.
3. Surface: Includes a curved lateral surface and the circular base.

Number of Vertices in a Cone

In geometry, a vertex is defined as a point where two or more lines, edges, or curves meet. For a cone:

• The apex is the only point where the curved surface meets.
• The circular base does not form any vertices because it is a smooth edge without intersecting lines.

Thus, a cone has one vertex, which is the apex.

Additional Explanation

• Unlike a pyramid, which may have multiple vertices based on its base shape, the cone has a smooth circular base and a single apex.
• This unique structure gives the cone its characteristic shape and limits the number of vertices a cone has to one.

This concept is critical for understanding 3D geometry and distinguishing between shapes like cones, pyramids, and cylinders.