How are cones and a pyramid alike? How are they different?

[Millan]

Alike:                                                      Different:
They both come to a point                     # of sides
Have one base

I don;t know what else.

[Hawke]

They both come to a point, but cones have a round base and pyramids have a polygon for a base.  As a result, pyramids have three or more lateral sides, depending on how many sides the base has.

They both have a formula for volume: V = (1/3)bh

Volume = (1/3)(base)(height)

[j_sun]

A cone has one flat circular base, one curved side, and an apex. The apex is directly above the centre of the base.

A pyramid has one flat polyhedral base, a number of flat triangular sides, and an apex. The apex is directly above the centre of the base.

As I said, the pyramid has a polyhedron as its base. If this polyhedron was a square (4 sides) then it would be the shape of the tombs along the Nile in Egypt. If it has a triangular base (3 sides), it would be a tetrahedron.

A polyhedron with an infinite number of sides is a circle, so therefore you can say that a cone is a particular type of pyramid.

[hummingbird]

cone has round side while pyramid has flat faces

[curlz]

there volumes are = as it is 1/3rd times base area times height

[federox]

Pyramids and cones are both three dimensional shapes (3-D shapes are actually called forms).  Yes they both have a base, but do not have the same number of sides or faces.  They do both have or come to a point.  

They both can be symetrical if you are comparing a cone to a 5 sided pyramid as opposed to a 4 sided pyramid (I'm including the bottom side)