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Cones – A Circle Joined to a Single Apex

A cone is a solid with one flat circular face (the base) and one curved surface that tapers up to a single point, called the apex – just like a pyramid, but with a circular base instead of a polygon. A cone has exactly 1 vertex (the apex), unlike a cylinder, which has none at all.

You can think of a cone as a “circular pyramid” in the same way a cylinder is a “circular prism” – it shares the pyramid's tapering shape, but with a curved circular base rather than a flat polygon base.

Properties of a Cone

A cone has 1 flat circular face, 1 curved surface, 1 edge (where the curved surface meets the base), and 1 vertex (the apex).

How many vertices does a cone have?

A cone has exactly one vertex, its apex: 1.

Real-Life Application

  • Ice cream cones: a classic everyday cone shape.
  • Traffic cones: road safety cones are cone-shaped.
  • Party hats: many party hats are shaped like cones.

Key Takeaways

  • A cone has 1 flat circular face and 1 curved surface, tapering to an apex.
  • It has 1 edge and exactly 1 vertex.
  • A cone behaves like a “circular pyramid.”

Practice: Cones

Cones

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