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Q.

How many vertices does a cone have?

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Detailed Solution

A cone has 1 vertex. The pointed tip of the cone is called its vertex, where all the straight lines from the circular base meet.

Understanding the Shape of a Cone

A cone is a three-dimensional solid shape that has a circular base and a curved surface that narrows to a single point known as the vertex. It looks like an ice-cream cone or a party hat.

  • Base: One flat circular surface.
  • Curved Surface: A smooth sloping surface joining the base to the tip.
  • Vertex: The sharp point at the top.
  • Edges: One circular edge where the base meets the curved surface.

Geometrical Properties of a Cone

PropertyValue
Faces2 (one flat and one curved)
Edges1 (circular)
Vertices1

Examples of Cones in Real Life

  • Ice cream cones
  • Traffic cones
  • Party hats
  • Volcano structures

Why Only One Vertex?

Unlike cubes or pyramids that have multiple corners, a cone narrows to just one point at the top. Since a vertex is defined as a point where two or more lines or edges meet, the cone’s pointed tip is its single vertex.

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How many vertices does a cone have?