The shape is called sector. The formal mathematical definition of sector is the portion of a circle bounded by two radii and the included arc.
A cylinder would fit the given description.
There are many possible answers. Some of these are a cone, ellipse or sphere sliced by two planes.
ice cream cone
Cylinder
A Cylinder
A cuboid has 6 flat faces but no curved surfaces. ..________ ./............../| /_______/.| |..............|.| |..............|./ |_______|/
Cylinder
A prism has no curved surfaces. It has 5 or more flat faces.
There can be no such shape. If there were a shape with n flat surfaces, then if you sliced off one vertex, you would have a shape with n+1 flat surfaces. So it is always possible to add one more flat surface.
A Cylinder
A cuboid has 6 flat faces but no curved surfaces. ..________ ./............../| /_______/.| |..............|.| |..............|./ |_______|/
cylinder
Cylinder
curved
A prism has no curved surfaces. It has 5 or more flat faces.
A cylinder. Technically, the curved surface of a cylinder is not called a face, only the flat surfaces, so a cylinder has 2 faces and one curved surface.
Yes, a cylinder has both curved and flat surface. Considering a solid cylinder standing on its end, the circular base and the circular top are flat surfaces. The surface connecting the top and bottom is curved.
Cylinder
Cylinder
2 flat and 1 curved
There can be no such shape. If there were a shape with n flat surfaces, then if you sliced off one vertex, you would have a shape with n+1 flat surfaces. So it is always possible to add one more flat surface.