In common speaking and geometry, a cone is a solid object that one gets when one rotates a right triangle around one of its two short sides, the cone's axis. The disk made by the other short side is called the base, and the point of the axis which is not on the base is the cone's apex or vertex. An object that is shaped like a cone is conical.
An ice cream cone is a holder for ice cream that is in the shape of a cone and that one can eat.
In projective geometry, a cylinder is simply a cone whose apex is at infinity, which corresponds visually to a cylinder in perspective appearing to be a cone towards the sky.
Cone Facts for Kids. Kiddle Encyclopedia.