Page 44 - Math Course 3 (Book 2)
P. 44

Volume of Pyramids, Cones, and Spheres
           Mo. 8


           Lesson 1                                        Volume of a Cone


                                                            Words    The volume V of a cone with radius r is
                                                                     one-third the area of the base B time the
          KEY CONCEPTS:                                              the height h.

          1. Find volumes of pyramids.                                   1          1
          2. Find volumes of cones and spheres.             Symbols V =      Bh or V =     π²h, where B = π²
                                                                         3
                                                                                    3
                                                            Model


          MO. 8 - L1a                                                      h

              Find Volume of Pyramids,                                       r
                  Cones, and Spheres


                                                           Volume of a Sphere
                     Vocabulary A-Z                         Words    The volume V of a sphere is four-thirds
                     Let us learn some vocabulary                    times pi times the radius cubed.



                                                                         1
         sphere                                             Symbols  V =      π³
         A sphere is a set of points in space that are a given           3
         distance r from the center.                        Model           r








                                   r


                                                                         Let’s Begin





                                                           Volume of a Pyramid
         Key Concept                                          Example



         Volume of Pyramid                                  Find the volume of the pyramid. Round to the

                                                            nearest tenth if necessary.
         Words     The volume V of pyramid is one -third the
                   area of the base B times the height h.

                       1
         Symbols V =      Bh
                       3
                                                                 12 in.
         Model

                   h                                                                       15 in.

                                     B                                     15 in.



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