A cone would fit the given description
A cone has one face - its base - and one edge but no vertices. Vertices only occur at the meeting of two straight surfaces.
Faces-2 (1 flat face and 1 curved face), 1 curved edge, and 1 vertex.
A Cone
nothing
2 faces (around the curved part and the flat base) 1 vertex (the point at the top) 1 edge (where the curved section meets the flat base)
A cone would fit the given description
It has a flat base, a curved surface area, a circular edge and one vertex.
A cone has one face - its base - and one edge but no vertices. Vertices only occur at the meeting of two straight surfaces.
a cone
One curved surface (two if it is hollow) and no edges.
A cone has a curved base edge and 1 vertex
A sphere !
An hemisphere is half of a globe with a circular flat base, a round edge, a curved surface but no vertices.
A hemisphere as two faces (one curved and one plane), one edge and no vertices.
A hemisphere as two faces (one curved and one plane), one edge and no vertices.
A finite cone has one vertex (not vertices!), 1 edge and 2 faces.
A cylinder would fit the given description