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 sphere
A sphere would fit the given description
A Semi-Sphere :)
curve surface area
a sphere
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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 sphere would fit the given description
It is a cylinder
One if it is solid, two if it is hollow
curve surface area
A Semi-Sphere :)
Circle
One if it is solid, two if it is hollow
cone
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.