A sphere would fit the given description
The solid figure you're describing is a cylinder. It has two circular bases, but if we consider a cylinder without its bases, it consists of a single curved surface wrapping around the height of the cylinder. Another example of a solid figure with one curved surface and no bases is a cone if we only consider the curved part without the base.
A semicircle
A solid that has only curved surfaces is a cylinder or a sphere. However, the sphere is the most common example of a solid with exclusively curved surfaces, as it is perfectly round and has no flat faces. In contrast, a cylinder has two flat circular bases in addition to its curved surface.
a sphere
It is a sphere which looks like a globe
The solid figure you're describing is a cylinder. It has two circular bases, but if we consider a cylinder without its bases, it consists of a single curved surface wrapping around the height of the cylinder. Another example of a solid figure with one curved surface and no bases is a cone if we only consider the curved part without the base.
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Spheres and spheroids have.Wait ! Don't go away. Any solid of revolution generated bya plane figure with only curves will have only a curved surface.
A semicircle
The tetrahedron has only four faces. A sphere has only one, but that's probably not what you meant since the surface of a sphere is curved.
A solid that has only curved surfaces is a cylinder or a sphere. However, the sphere is the most common example of a solid with exclusively curved surfaces, as it is perfectly round and has no flat faces. In contrast, a cylinder has two flat circular bases in addition to its curved surface.
a sphere
I am not sure that such a surface can exist.
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?
It is a sphere which looks like a globe
Because that is how a polyhedron is defined.
a sphere has no bases and it only has one curved surface