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Math Help - Volume problem

  1. #1
    HMV
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    Volume problem

    Use the shell method to evaluate the volume between y=(x)^(1/2), y=0, x=4, about the line x=6.
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  2. #2
    MHF Contributor
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    Quote Originally Posted by HMV View Post
    Use the shell method to evaluate the volume between y=(x)^(1/2), y=0, x=4, about the line x=6.
    The formula is

    V = 2 \pi \int_a^b r f(x)\,dx

    where f(x) is your function and r the distance from a point in the region (along the x axis) to the line. So here

    V = 2 \pi \int_0^4 (6-x) \sqrt{x}\, dx

    I'm sure you can take it from here.
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