Matematika

Pertanyaan

perhatikan gambar disamping.
Luas permukaan benda tersebut.. cm2
a. 292,02
b. 244,92
c. 235,5
d. 103,62
perhatikan gambar disamping. Luas permukaan benda tersebut.. cm2 a. 292,02 b. 244,92 c. 235,5 d. 103,62

2 Jawaban

  • 1/2×4×phi×r^2 +2×phi×r×t+phi×r×s
    =phi×r (2×r+2×t+s)
    =3,14×3 (2×3+2×10+5)
    =9,42(6+20+5)
    =9,42× 31
    =292,02 (A)
  • Luas permukaan setengah bola
    D = 6 cm
    r = D/2 = 6/2 = 3 cm

    L = 2.π.r²
    L = 2 x 3,14 x 3²
    L = 6,28 x 9
    L = 56,52 cm²

    Luas selimut tabung
    r = 3 cm
    t = 10 cm

    L = 2.π.r.t
    L = 2 x 3,14 x 3 x 10
    L = 31,4 x 6
    L = 188,4 cm²

    Luas selimut kerucut
    r = 3 cm
    t = 4 cm
    s² = r² + t²
    s² = 3² + 4²
    s² = 9 + 16
    s² = 25
    s = √25
    s = 5 cm

    L = π.r.s
    L = 3,14 x 3 x 5
    L = 3,14 x 15
    L = 47,1 cm²

    Luas permukaan seluruhnya
    L = 56,52 cm² + 188,4 cm² + 47,1 cm²
    L = 292,02 cm²

    Jawaban A