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Math Help - volume revolved around x-axis

  1. #1
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    volume revolved around x-axis

    volume of
    y=x^2 and y=4 rotated about the x-axis
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  2. #2
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    Quote Originally Posted by yoman360 View Post
    volume of
    y=x^2 and y=4 rotated about the x-axis
    washers ...

    R = 4

    r = x^2
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  3. #3
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    Quote Originally Posted by skeeter View Post
    washers ...

    R = 4

    r = x^2
    ok this is what i did

    int_0^2 16-x^4 dx

    integrate i get

    \frac{128 \pi}{5}

    correct?
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  4. #4
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    Quote Originally Posted by yoman360 View Post
    ok this is what i did

    int_0^2 16-x^4 dx

    integrate i get

    \frac{128 \pi}{5}

    correct?
    That's just half the volume

    V=\int_{-2}^2\pi(16-x^4) dx=2\int_0^2\pi(16-x^4) dx
    Last edited by ione; April 21st 2010 at 07:02 AM.
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