Matematika

Pertanyaan

1. Keliling alas sebuah kerucut 44cm dan panjang garis pelukisnya 25cm. Hitunglah:
a. Panjang jari-jari alas
b. Luas kerucut
c. Volume kerucut

1 Jawaban

  • s = 25 cm
    Keliling = 44cm

    a. Keliling = 2×phi×r
    44 = 2×22/7×r
    44 = 44/7 × r
    44 ÷ 44/7 = r
    44 × 7/44 = r
    7 = r
    r = 7 cm

    b. Luas = phi×r×(r+s)
    = 22/7 × 7 ×(25+7)
    = 22 × 32
    = 704 cm^2

    c. t = akar (25^2 - 7^2)
    = akar (625 - 49)
    = akar 576
    = 24 cm

    Volume = 1/3 × phi × r^2 × t
    = 1/3 × 22/7 × 7^2 × 24
    = 1/3 × 22/7 × 49 × 24
    = 1.232 cm^3

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