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Math Help - solid of revolution

  1. #1
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    solid of revolution

    Given that Y = K sin(x/70), Volume = 200,000, Height of X = 35mm with its base at x = 0.
    Find the value of K.

    Any help is appreciated, not sure on what equation to input this, my suggestion would be V = Integral(Pi*Y^2)
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  2. #2
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    Re: solid of revolution

    Unknownstarz

    if the volume is generated by rotating the curve about the x-axis then yes you integrate πk[(sin(x/70)]^2dx using the limits of integration you specify
    then equate this to 200000 and find k .It is easy.
    Minoas
    Thanks from Unknownstarz
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