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Thread: Find the volume generated by rotating the given region about the specified line?

  1. November 19th 2008, 05:47 PM #1
    sobadin
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    Find the volume generated by rotating the given region about the specified line?

    http://i249.photobucket.com/albums/g...ORKDIAGRAM.jpg

    a) R1 about OC
    b) R1 about BC
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  2. November 20th 2008, 03:47 AM #2
    shawsend
    shawsend is offline
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    Using the washer method, the volume of revolution about the x-axis is:

    V_x=\pi\int_0^1 (x-x^6)dx

    You can do the volume around the y-axis:

    V_y=\pi\int_0^1\bigg(g(y)^2-h(y)^2\bigg) dy
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« Application of integration: Volumes | equation of the tangent line »

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