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Geometry

Cylinders – Two Circles Joined by a Curved Surface

A cylinder is a solid with two identical, parallel flat circular faces, joined by one curved surface that wraps all the way around. Unlike the flat-faced solids you've just met (cubes, cuboids, prisms, pyramids), a cylinder has no straight edges connecting its two circular ends – and because it has no sharp corners at all, it has zero vertices.

You can think of a cylinder as a “circular prism” – it behaves just like a prism (uniform cross-section along its length), except its cross-section is a circle rather than a polygon, so the usual prism face/edge/vertex-counting rules don't quite apply the same way.

Properties of a Cylinder

A cylinder has 2 flat circular faces, 1 curved surface, 2 edges (where the curved surface meets each circle), and 0 vertices.

How many vertices does a cylinder have?

A cylinder has no sharp corners at all: 0 vertices.

Real-Life Application

  • Cans: soft drink and food cans are cylinders.
  • Pipes: plumbing and drainage pipes are cylindrical.
  • Batteries: most household batteries are cylinder-shaped.

Key Takeaways

  • A cylinder has 2 flat circular faces and 1 curved surface.
  • It has 2 edges and 0 vertices.
  • A cylinder behaves like a “circular prism.”

Practice: Cylinders

Cylinders