Hemisphere
Technically, there's no shape with no surface and no vertices, but a sphere is close. It has no vertices but has just one surface.
Cone
An ovoid (egg-shape) is one possible answer. A smooth blob (to use a very technical term!) is another.
cylinder
a sphere has 0 flat serfaces 0 vertices
Hemisphere
How about globe or a sphere
Technically, there's no shape with no surface and no vertices, but a sphere is close. It has no vertices but has just one surface.
Cone
A blob, an ellipsoid, a torus (doughnut), a sphere
Circle
Prism
sphere
0 vertices 0edges 2 flat surfaces
A sphere has no faces, edges, or vertices.
This is an impossibility. If it is a solid figure then it will have more than 1 surface. If it has only 1surface and it is a solid, then it must be a sphere, but the surface of a sphere is not flat is it? By using the word 'solid' then by definition, it is three dimensional and has thickness. A cylinder has no vertices , but it has 2flat surfaces. A vertex is a point where three lines meet, such as on a pyramid, which has 4 vertices. Have I forgotten something or is this a 'trick' question?