Matematika

Pertanyaan

Diameter alas kerucut = 16 cm
Panjang garis pelukisnya = 17 cm
Hitung Luas dan volume kerucut ! (π = 3.14)

2 Jawaban

  • BANGUN RUANG
    MATEMATIKA SMP

    Cari Tinggi Kerucut
    = √(17² - 8²)
    = √(289 - 64)
    = √ 225
    = 15 cm

    Volume Kerucut
    = ⅓ x π x r² x t
    = ⅓ x 3,14 x 8² x 15
    = 3,14 x 64 x 5
    = 1004,8 cm³ <=======

    Luas Kerucut
    = πr² + πrs
    = (3,14 x 8²) + (3,14 x 8 x 17)
    = 200,96 + 427,04
    = 628 cm² <<=======

    Semoga Bermanfaat\(^-^)/
    Senang Bisa Membantu <^=^>
  • d = 16 cm
    r = 1/2 × d
    r = 1/2 × 16 = 8 cm
    s = 17 cm
    phi = 3,14
    t^2 = s^2 - r^2
    = 17^2 - 8^2
    = 289 - 64
    = 225
    t = akar 225
    t = 15 cm

    L = La + Lselimut
    = (phi × r^2) + (phi × r × s)
    = (3,14 × 8 × 8) + (3,14 × 8 × 17)
    = 200,96 + 427,04
    = 628 cm^2
    V = 1/3 × La × t
    = 1/3 × phi × r^2 × t
    = 1/3 × 3,14 × 8 × 8 × 15
    = 1004,8 cm^3

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