Volume Kerucut
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Transcript of Volume Kerucut
![Page 1: Volume Kerucut](https://reader034.fdocument.pub/reader034/viewer/2022052200/55abb1171a28abfe558b46b8/html5/thumbnails/1.jpg)
NURUL FATIMAH(0801291)
Multimedia Pendidikan Matematika
![Page 2: Volume Kerucut](https://reader034.fdocument.pub/reader034/viewer/2022052200/55abb1171a28abfe558b46b8/html5/thumbnails/2.jpg)
![Page 3: Volume Kerucut](https://reader034.fdocument.pub/reader034/viewer/2022052200/55abb1171a28abfe558b46b8/html5/thumbnails/3.jpg)
Kerucut merupakan limas segi-n beraturandengan alas suatu lingkaran.
Jika bidang alas dan tinggi sama(berimpit), maka:
volume kerucut = ⅓ volume silinder (tabung)
![Page 4: Volume Kerucut](https://reader034.fdocument.pub/reader034/viewer/2022052200/55abb1171a28abfe558b46b8/html5/thumbnails/4.jpg)
Volume kerucut = ⅓ x luas alas x tinggi
Oleh karena alas kerucut berbentuklingkaran dengan luas = πr², maka
Volume kerucut = ⅓ x (πr²) x t
![Page 5: Volume Kerucut](https://reader034.fdocument.pub/reader034/viewer/2022052200/55abb1171a28abfe558b46b8/html5/thumbnails/5.jpg)
Gambar 1 adalah gambar gelas minumanyang berbentuk kerucut terpancung. Jikadiketahui AB = 6 cm, AD = 2 cm, dan BC = 4cm, hitunglah:
![Page 6: Volume Kerucut](https://reader034.fdocument.pub/reader034/viewer/2022052200/55abb1171a28abfe558b46b8/html5/thumbnails/6.jpg)
C
O
B
AD
4 cm
2 cm
x cm
6 cm
![Page 7: Volume Kerucut](https://reader034.fdocument.pub/reader034/viewer/2022052200/55abb1171a28abfe558b46b8/html5/thumbnails/7.jpg)
4 cm
2 cm
O
B C
A
O
D
(6 + x) cm
x cm
O
B
A D
C
![Page 8: Volume Kerucut](https://reader034.fdocument.pub/reader034/viewer/2022052200/55abb1171a28abfe558b46b8/html5/thumbnails/8.jpg)
Dengan metode perbandingan, maka
4x = 2 (6 + x)
4x = 12 + 2x
4x – 2x = 12
2x = 12
x = 6
![Page 9: Volume Kerucut](https://reader034.fdocument.pub/reader034/viewer/2022052200/55abb1171a28abfe558b46b8/html5/thumbnails/9.jpg)
O
B
AD
4 cm
2 cm 12 cm
C
![Page 10: Volume Kerucut](https://reader034.fdocument.pub/reader034/viewer/2022052200/55abb1171a28abfe558b46b8/html5/thumbnails/10.jpg)
Jadi, volume kerucut adalah 8π cmᶾ
![Page 11: Volume Kerucut](https://reader034.fdocument.pub/reader034/viewer/2022052200/55abb1171a28abfe558b46b8/html5/thumbnails/11.jpg)
O
B 4 cm
12 cm
![Page 12: Volume Kerucut](https://reader034.fdocument.pub/reader034/viewer/2022052200/55abb1171a28abfe558b46b8/html5/thumbnails/12.jpg)
Jadi, volume kerucut adalah 64π cmᶾ
![Page 13: Volume Kerucut](https://reader034.fdocument.pub/reader034/viewer/2022052200/55abb1171a28abfe558b46b8/html5/thumbnails/13.jpg)
Semoga Bermanfaat