One possible answer is an infinite cone.
Spheres have one face but no vertex. No physical 3-D shape can have a vertex without having more than one face (a real cone typically has two: side and bottom).
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The shape that has 1 face, 0 edges, and 1 vertex is a sphere. A sphere is a three-dimensional shape that is perfectly round and has no edges or vertices. It is defined by a single curved surface with no corners or edges.
cone
sphere
Faces-2 (1 flat face and 1 curved face), 1 curved edge, and 1 vertex.
It has 10 vertices, 10 edges, and 0 faces.
No. A cylinder has 0 vertices, 0 edges and 2 faces.