A+: cone
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A cylinder
A cone has one vertex and one edge.
Yes, the point on the cone is a vertex.Typical math textbooks define a cone as "A solid figure with one circular face and one vertex." So yes, there is one vertex.
None. By definition a diagonal goes from one vertex to another vertex and so each diagonal MUST have two vertices.
In a polygon with n sides, the number of diagonals that can be drawn from one vertex is given by the formula (n-3). Therefore, in a 35-sided polygon, you can draw (35-3) = 32 diagonals from one vertex.