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Math Help - volume of the solid formed by rotating the region

  1. #1
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    volume of the solid formed by rotating the region

    This question asks to find the volume of the solid formed by rotating the region enclosed by:
    y=e^x +5, y=0, x=0, x=0.1
    Would I use the cylindrical shells method for this one?
    Thank You,
    Keith
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by keith View Post
    This question asks to find the volume of the solid formed by rotating the region enclosed by:
    y=e^x +5, y=0, x=0, x=0.1
    Would I use the cylindrical shells method for this one?
    Thank You,
    Keith
    Mostly likely you can. But you forgot to mention which axis the rotation is about.

    -Dan
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  3. #3
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    Volume of the solid formed by rotating the region

    The region is rotated about the x-axis. Sorry for the error.
    Thank You,
    Keith
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  4. #4
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by keith View Post
    This question asks to find the volume of the solid formed by rotating the region enclosed by:
    y=e^x +5, y=0, x=0, x=0.1
    Would I use the cylindrical shells method for this one?
    Thank You,
    Keith
    Quote Originally Posted by keith View Post
    The region is rotated about the x-axis. Sorry for the error.
    Thank You,
    Keith
    I would do it pretty much like the other answer I gave you. I'd do discs centered on the x-axis. The radius of the discs would be equal to y, so:
    V = \int_0^{0.1} \pi (e^x + 5)^2~dx

    -Dan
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