Matematika

Pertanyaan

volume kerucut yang keliling alasnya 44 cm, garis pelukisnya 25 cm, dengan phi=22/7

2 Jawaban

  • Kelas 8 Matematika
    Bab Bangun Ruang

    Keliling = 44
    2 . π . r = 44
    2 . 22/7 . r = 44
    r = 44 . 7/44
    r = 7 cm

    t = √(s² - r²)
    t = √(25² - 7²)
    t = √(625 - 49)
    t = √576
    t = 24 cm

    Volume
    = 1/3 . π . r . r . t
    = 1/3 . 22/7 . 7 . 7 . 24
    = 1.232 cm^3
  • Keliling alas = πd
    44 = 22/7 x d
    d = 44 : 22/7
    d = 44 x 7/22
    d = 14 cm

    r = 1/2d
    = 7 cm

    t = √s² - r ²
    = √ 625 - 49
    = √576
    = 24 cm

    Volume Kerucut
    =1/3 π r² t
    = 1/3 x 22/7 x 49 x 24
    = 22/21 x 49 x 24
    = 1232 cm²

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