cone
The answer is a cone
It has [at least] one circular face and one curved face.
A conic section.
A cylinder.
cone
The answer is a cone
It has [at least] one circular face and one curved face.
A conic section.
pyramid
A cylinder.
A cone+++The original answer also had "Cube", which is obviously wrong!
The solid you are describing is called a cylinder. It has two circular faces, one curved face, and no vertices.
Most don't, e.g. a cube or a sphere
Cube and pyramid
A cone has one circular face. It also has one vertice. A cone has no edges due to the fact that it has a circular face.
a cone