Cylinder - a solid figure formed by two congruent parallel circles joined by a curved surface.
cube
A semicircle
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 cylinder
A paraboloid.
Cylinder - a solid figure formed by two congruent parallel circles joined by a curved surface.
cube
Sphere
A semicircle
A figure with 2 circular bases and one curved surface is called a cylinder. Examples are food cans.
Circle
A cylinder
A cone.
It is a cylinder
Sphere, cylinder and a cone
I am not sure that such a surface can exist.