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Which space figure has a circular base and a single vertex?

  1. Pyramid

  2. Cone

  3. Cylinder

  4. Sphere

The correct answer is: Cone

The space figure characterized by having a circular base and a single vertex is the cone. A cone consists of a flat circular base at one end and converges to a single point called the apex or vertex. This structure distinctly sets it apart from the other figures listed. In contrast, a pyramid has a polygonal base and can have multiple vertices along the base, while the cylinder features two parallel circular bases but lacks a vertex entirely as it extends straight up without a taper. The sphere is completely round, with no edges, vertices, or faces, making it fundamentally different from a cone. Thus, the description of having a circular base and a single vertex specifically applies to a cone.