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Math Help - Finite Region Bounded by Curve

  1. #1
    Member zangestu888's Avatar
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    Finite Region Bounded by Curve

    Having troubled graphing this its going to be a bowl shape i think, the question is like so:

    The finite region bounded by curves y=x^2 and y=4 , is rotated around the line y=-2 , find the volume of the resulting solid.

    Okay is this gonna look like a bowl, with a inner radius and outer radius am gessing inner radius will be 2 outer will be 2 + x^2 please correct me if am wrong thank you !!
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  2. #2
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    Quote Originally Posted by zangestu888 View Post
    Having troubled graphing this its going to be a bowl shape i think, the question is like so:

    The finite region bounded by curves y=x^2 and y=4 , is rotated around the line y=-2 , find the volume of the resulting solid.

    Okay is this gonna look like a bowl, with a inner radius and outer radius am gessing inner radius will be 2 outer will be 2 + x^2 please correct me if am wrong thank you !!
    no bowl.

    outer radius = 4 - (-2)

    inner radius = x^2 - (-2)
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  3. #3
    Member zangestu888's Avatar
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    and then i would integrate wrt x and my limits of intergration from -2 to 2 correct?thanks!
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