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Math Help - stupid volume problem

  1. #1
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    stupid volume problem

    Find the area of the portion of the plane 2x−2y+z = 1 inside the cylinder x^2+y^2 = 4.

    dont you need 2 planes to find out the area between them or else the cylinder goes to infinity in one direction?
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  2. #2
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    You're thinking of volume; it's asking for area. The plane has a portion (which will be an ellipse) inside the (infinite) cylinder, and you're being asked for the area of that.

    --Kevin C.
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  3. #3
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    ok well my final is in 2 hrs, any idea on how to do that?
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  4. #4
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    Quote Originally Posted by Dubulus View Post
    ok well my final is in 2 hrs, any idea on how to do that?
    Start with a parametric representation of the ellipse:

    x = 2 \sin t

    y = 2 \cos t

    z = 1 - 2x + 2y = 1 - 4 \sin t + 4 \cos t

    where 0 \leq t < 2 \pi.
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