Matematika

Pertanyaan

hitunglah volume bola jika diketahui: a. jari jari 10 cm, b. diameter 35 cm, dan c. luas permukaan bola 616 cm2

2 Jawaban

  • a. v = 4/3 Π r³
    = 4/3 x 3,14 x 10³
    = 40/3 x 314
    = 12560/3
    = 4186,3 cm³
  • A).
    Volume = 4/3 x π x r³
    = 4/3 x 22/7 x 10³
    = 4/3 x 22/7 x 1000
    = 4/3 x 3142,857
    = 4190,476 cm³

    B). Diameter = 35 cm
    Jari-jari = Diameter/2 = 35/2 = 17,5 cm

    Volume = 4/3 x π x r³
    = 4/3 x 22/7 x 17,5³
    = 4/3 x 22/7 x 5359,375
    = 22458,33 cm³

    C).
    Luas permukaan = 4 x π x r²
    616 = 4 x 22/7 x r²
    616 = 88/7 x r²
    r² = 616 x 7/88
    r² = 49
    r = √49
    r = 7 cm

    Volume = 4/3 x π x r³
    = 4/3 x 22/7 x 7³
    = 4/3 x 22/7 x 343
    = 4/3 x 1078
    = 1437,33 cm³

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