Matematika

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Prize 10 Poin

Luas sebuah bbp (Belahan Bola Padat) 4.158cm². jika pendekatan nilai π= 22/7. hitunglah volume bbp (Belahan benda padat)

(pake cara)

2 Jawaban

  • luas bbp = 3 πr²
    4158 = 3×22/7 ×r²
    4158 = 66/7 × r²
    4158 ÷ 66/7 = r²
    4158 × 7/66 = r²
    441 = r²
    r = akar kuadrat dari 441
    r = 21 cm

    volume bbp = 1/2 × 4/3 × π ×r^3
    = 1/2×4/3×22/7×21^3
    =88/42×9261
    = 19404 cm^3
  • Lbbp = 4158 cm^2
    phi = 22/7
    Lbbp = (1/2 × 4 × phi × r^2) + (phi × r^2)
    4158 = (1/2 × 4 × 22/7 × r^2) + (22/7 × r^2)
    4158 = (44/7 × r^2) + (22/7 × r^2)
    4158 = r^2 × (44/7 + 22/7)
    4158 = r^2 × 66/7
    r^2 = 4158/(66/7)
    r^2 = 4158 × 7/66
    r^2 = 441
    r = V441
    r = 21 cm
    Vbbp = 1/2 × 4/3 × phi × r^3
    Vbbp = 1/2 × 4/3 × 22/7 × 21^3
    Vbbp = 1/2 × 4/3 × 22/7 × 9261
    Vbbp = 19404 cm^3
    Jadi volume belahan bola padat adalah 19404 cm^3

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