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Alfi asked in Sains & MatematikaMatematika · 8 years ago

volume benda putar - matematika XII IPA?

volume benda putar yang terjadi jika daerah yang dibatasi kurva y=1-x^2 dan garis y= -1 diputar pada sumbu y adalah

2 Answers

Rating
  • Nur°F
    Lv 7
    8 years ago
    Favorite Answer

    y = 1 - x^2

    simetris dg x = 0

    yp = -(b² - 4ac)/4a = -(0² - 4(-1)(1))/4(-1) = 1

    batas integral dari y = -1 sampai y = 1

    y = 1 – x² → x² = 1 - y

    V = π ∫ x² dy = π∫(1 – y)dy

    ………………...1

    = π(y – (1/2)y²) ]

    ………………..-1

    = π((1 – (1/2)(1²)) - ((-1) – (1/2)(-1²))

    = π((1/2) + (3/2))

    = 2π satuan volume

  • 8 years ago

    hemz lum tw, n q bkn jrusan IPA

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