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Math Help - Torus volume by using cylindrical shells

  1. #1
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    Exclamation Torus volume by using cylindrical shells

    Use cylindrical shells to find the volume of the torus obtained by revolving the circle x^2+y^2=a^2 about the line x=b, where b>a>0.

    For this one, I can't figure out anything. I know what torus is, but I don't know how to solve this one.

    Thank you.
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  2. #2
    Eater of Worlds
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    Use the formula for the area of a circle.

    V=4{\pi}\int_{-a}^{a}(b-x)\sqrt{a^{2}-x^{2}}dx

    See why?.
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