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Math Help - Volume of Revolution

  1. #1
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    Volume of Revolution

    Find volume of revolving region bounded by...

    y = x^4
    x = 1
    y = 0
    about the x axis


    I got pi/9

    Am I right? I am new to this, and just want to make sure I know what I am doing.
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  2. #2
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    Quote Originally Posted by Morgan82 View Post
    Find volume of revolving region bounded by...

    y = x^4
    x = 1
    y = 0
    about the x axis


    I got pi/9

    Am I right? I am new to this, and just want to make sure I know what I am doing.
    V = \pi \int_0^1 (x^4)^2 \, dx = \frac{\pi}{9}
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