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Volum tabung
                     volum kerucut
                       volum bola
                               Oleh
                       Tri Diana Wijayanti
                           4101408145

12/22/2011 2:19 AM                           1
KOMPETENSI
                             DASAR


                           PRASYARAT


                          KEGIATAN INTI




           VOLUM TABUNG   VOLUM KERUCUT   KOMPETENSI



                           KESIMPULAN




12/22/2011 2:19 AM                                     2
KOMPETENSI DASAR
                     2. 2 Menghitung luas selimut dan volume
                            tabung, kerucut dan bola.



                             TUJUAN PEMBELAJARAN
           1. Dengan menggunakan alat peraga model tabung, peserta
              didik dapat menemukan rumus volum tabung.
           2. Dengan menggunakan alat peraga model kerucut, peserta
              didik dapat menemukan rumus volum kerucut.
           3. Dengan menggunakan alat peraga model bola, peserta didik
              dapat menemukan rumus volum balok.
12/22/2011 2:19 AM                                                       3
PRASYARAT
                           a. Berbentuk apakah bangun
                              disamping?
                               (jawab: lingkaran)
                           b. Berapakah panjang jari –jarinya?
                     r
                               (jawab : r)
               d
                           c. Berapakah panjang diameternya?
                              (jawab: d)
                           d. Panjang jari – jari berapa kali
                               panjang diameter?
                               (jawab: 1/2)
                           e. Berapa luas bangun tersebut?
                                r 2
12/22/2011 2:19 AM                                           4
Kegiatan inti
                     Bentuk alat peraga Volum Tabung




12/22/2011 2:19 AM                                     5
Volum Tabung = luas alas x tinggi
                                  = r t2




12/22/2011 2:19 AM                                       6
VOLUM KERUCUT
                      Bentuk alat peraga




12/22/2011 2:19 AM                         7
Langkah Penggunaan
1. Tunjukan bahwa luas alas model kerucut sama
   dengan luas alas model tabung
2. Tunjukan bahwa tinggi model kerucut sama
   dengan tinggi model tabung
3. Isilah model kerucut dengan butiran beras (atau
   yang lain) sampai penuh. Kemudian tuangkan
   kedalam model tabung.
4. Catat berapa kali beras dalam model kerucut
   masuk ke dalam model tabung
5. Tentukan rumus dari Volum kerucut

12/22/2011 2:19 AM                               8
Volum kerucut = 1/3 Volum tabung
                                   = 1/3r t
                                           2




12/22/2011 2:19 AM                                      9
VOLUM BOLA
                     Bentuk alat peraga




12/22/2011 2:19 AM                        10
Langkah Penggunaan
1. Tunjukan bahwa luas alas model kerucut sama
   dengan luas alas model bola
2. Tunjukan bahwa tinggi model kerucut sama
   dengan tinggi model bola
3. Isilah model kerucut dengan butiran beras (atau
   yang lain) sampai penuh. Kemudian tuangkan
   kedalam model bola
4. Catat berapa kali beras dalam model kerucut
   masuk ke dalam model bola
5. Tentukan rumus dari Volum bola

12/22/2011 2:19 AM                               11
Volum bola = 2 x Volum tabung
                                =2 x 1/3 r 2t
                                = 2/3 r t
                                        2




12/22/2011 2:19 AM                                   12
Apa yang dapat kita
                     simpulkan dari kegiatan di
                              atas?




                                 r t 2

                              r t
                                2




12/22/2011 2:19 AM                                13
Kesimpulan
              Volum Tabung = luas alas x tinggi
                           = r 2t

             Volum kerucut = 1/3 Volum tabung
                           = 1/3 r t
                                   2



              Volum bola = 2 x Volum tabung
                         =2 x 1/3
                         = 2/3r t
                                2


12/22/2011 2:19 AM                                14
TERIMA
                      KASIH


12/22/2011 2:19 AM            15

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Volum Tabung

  • 1. Volum tabung volum kerucut volum bola Oleh Tri Diana Wijayanti 4101408145 12/22/2011 2:19 AM 1
  • 2. KOMPETENSI DASAR PRASYARAT KEGIATAN INTI VOLUM TABUNG VOLUM KERUCUT KOMPETENSI KESIMPULAN 12/22/2011 2:19 AM 2
  • 3. KOMPETENSI DASAR 2. 2 Menghitung luas selimut dan volume tabung, kerucut dan bola. TUJUAN PEMBELAJARAN 1. Dengan menggunakan alat peraga model tabung, peserta didik dapat menemukan rumus volum tabung. 2. Dengan menggunakan alat peraga model kerucut, peserta didik dapat menemukan rumus volum kerucut. 3. Dengan menggunakan alat peraga model bola, peserta didik dapat menemukan rumus volum balok. 12/22/2011 2:19 AM 3
  • 4. PRASYARAT a. Berbentuk apakah bangun disamping? (jawab: lingkaran) b. Berapakah panjang jari –jarinya? r (jawab : r) d c. Berapakah panjang diameternya? (jawab: d) d. Panjang jari – jari berapa kali panjang diameter? (jawab: 1/2) e. Berapa luas bangun tersebut? r 2 12/22/2011 2:19 AM 4
  • 5. Kegiatan inti Bentuk alat peraga Volum Tabung 12/22/2011 2:19 AM 5
  • 6. Volum Tabung = luas alas x tinggi = r t2 12/22/2011 2:19 AM 6
  • 7. VOLUM KERUCUT Bentuk alat peraga 12/22/2011 2:19 AM 7
  • 8. Langkah Penggunaan 1. Tunjukan bahwa luas alas model kerucut sama dengan luas alas model tabung 2. Tunjukan bahwa tinggi model kerucut sama dengan tinggi model tabung 3. Isilah model kerucut dengan butiran beras (atau yang lain) sampai penuh. Kemudian tuangkan kedalam model tabung. 4. Catat berapa kali beras dalam model kerucut masuk ke dalam model tabung 5. Tentukan rumus dari Volum kerucut 12/22/2011 2:19 AM 8
  • 9. Volum kerucut = 1/3 Volum tabung = 1/3r t 2 12/22/2011 2:19 AM 9
  • 10. VOLUM BOLA Bentuk alat peraga 12/22/2011 2:19 AM 10
  • 11. Langkah Penggunaan 1. Tunjukan bahwa luas alas model kerucut sama dengan luas alas model bola 2. Tunjukan bahwa tinggi model kerucut sama dengan tinggi model bola 3. Isilah model kerucut dengan butiran beras (atau yang lain) sampai penuh. Kemudian tuangkan kedalam model bola 4. Catat berapa kali beras dalam model kerucut masuk ke dalam model bola 5. Tentukan rumus dari Volum bola 12/22/2011 2:19 AM 11
  • 12. Volum bola = 2 x Volum tabung =2 x 1/3 r 2t = 2/3 r t 2 12/22/2011 2:19 AM 12
  • 13. Apa yang dapat kita simpulkan dari kegiatan di atas? r t 2 r t 2 12/22/2011 2:19 AM 13
  • 14. Kesimpulan Volum Tabung = luas alas x tinggi = r 2t Volum kerucut = 1/3 Volum tabung = 1/3 r t 2 Volum bola = 2 x Volum tabung =2 x 1/3 = 2/3r t 2 12/22/2011 2:19 AM 14
  • 15. TERIMA KASIH 12/22/2011 2:19 AM 15