According to the strictest definition of "face" being a flat surface, a cone has one. This leaves no name for the other part of the cone which is a curved surface. Some people call this a face as well.
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no because it has curved faces.
polygons have faces and cylinders and cone and spheres only has bases not faces.
The description given fits that of cones
That depends upon the relative sizes of the cones and the cylinder.
A "dose" is a measured portion of a medicine. I am not aware of any cones that have measured quantities of medication! A finite cone has one edge and one vertex.