Matematika

Pertanyaan

hitunglah harga bandul emas tersebut
hitunglah harga bandul emas tersebut

2 Jawaban

  • r = 21 mm = 2,1 cm
    t = 10 mm = 1 cm
    Volume = volume 1/2 bola + volume kerucut
    = 1/2 . 4/3 πr^3 + 1/3 πr^2 t
    = 2/3 πr^3 + 1/3 πr^2 t
    = 1/3 πr^2 (2r + t)
    = 1/3 . 22/7 . 2,1 . 2,1 (2 . 2,1 + 1)
    = 22/21 . 4,41 (4,2 + 1)
    = 22 . 0,21 (5,2)
    = 24,024 cm^2
    Berat = 24,024 x 8 gram = 192,192 gram
    Harga = 192,192 x Rp80.000,-
    = Rp15.375.360,-
  • Mapel : Matematika
    Kelas : IX SMP
    Bab : Bangun Ruang

    Pembahasan :
    Volume Bandul = V 1/2 Bola + V Kerucut
    V Bandul = (2/3 pi r³) + (1/3 pi r²t)
    V Bandul = (2/3 . 22/7 . 21³) + (1/3 . 22/7 . 21² . 10)
    V Bandul = 19404 + 4620
    V Bandul = 24.024 mm³
    V Bandul = 24,024 cm³

    Harga = (V Bandul x 8) x Rp80.000
    Harga = (24,024 x 8) x Rp80.000
    Harga = 192,192 x Rp80.000
    Harga = Rp15.375.360