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11.3 – Cylinders and Cones
Key Terms
 Cylinder – A threedimensional solid made from two congruent and parallel circular bases and all the points between them.
 Cone – A threedimensional solid made from one circular base, a vertex (not in the same plane), and all the points (space) between them.
Review
Polyhedrons 
 Prisms and pyramids are polyhedrons because all of their faces are polygons
 Altitudes (the heights of solids) are always perpendicular (90 degrees) to the bottom base

Notes
Summary 
 Cones and cylinders are NOT polyhedrons because their bases are NOT polygons
 Pyramids and prisms ARE polyhedrons because their bases ARE polygons
 Cones and pyramids have SIMILAR parallel horizontal crosssections and only ONE base
 Cylinders and prisms have CONGRUENT parallel horizontal crosssections and TWO bases
 Cones and pyramids have vertices (which are NOT considered a one of the similar horizontal crosssections of the solid

Examples
 Ex 1. Using the piling method, it is true that the following can be constructed from polygons alone:
 Prisms
 Pyramids (not including the vertex)

 Ex 2. Using the piling method, it is true that the following can be constructed from discs alone:
 Cylinders
 Cones (not including the vertex)

 Ex 3. Using the piling method, it is true that the following can be constructed from polygons alone or discs alone:
 Cubes
 Prisms
 Cylinders
 Pyramids (not including the vertex)
 Cones (not including the vertex)

Important!
Practice (Apex Study 11.3)
 Try practice problems on Pg 15
 Mandatory: write and answer problems on Pg 16
 1 Quiz
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