Matematika

Pertanyaan

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1 Jawaban

  • 18.
    Luas selimut kerucut
    D = 14 cm
    r = D/2 = 14/2 = 7 cm
    t = 24 cm

    cari panjang garis pelukis
    s² = r² + t²
    = 7² + 24²
    = 49 + 576
    = 625
    s = √625
    s = 25 cm

    L = π.r.s
    = 22/7 x 7 x 25
    = 22 x 25
    = 550 cm²

    Luas setengah bola
    L = 2.π.r²
    = 2 x 22/7 x 7 x 7
    = 2 x 22 x 7
    = 44 x 7
    = 308 cm²

    Luas permukaan bandul
    550 + 308 = 858 cm² (C)

    19.
    D = 28 m
    r = D/2 = 28/2 = 14 m
    Luas permukaan setengah bola = 2.π.r²
    L = 2 x 22/7 x 14 x 14
    L = 2 x 22 x 2 x 14
    L = 4 x 308
    L = 1.232 m²

    Biaya pengecatan
    1.232 x Rp. 25.000 = Rp. 30.800.000

    20.
    t = 3 m
    D = 1,4 m
    r = 0,7 m

    V = π.r².t
    = 22/7 x 0,7 x 0,7 x 3
    = 22 x 0,1 x 2,1
    = 2,2 x 2,1
    = 4,62 m³
    = 4.620 liter

    waktu = volume / debit
    = 4.620 / 15
    = 308 menit (D)