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Math Help - multiple integrals: cylinder

  1. #1
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    multiple integrals: cylinder

    Could you please help me with this problems??? 1)Find the volume of solid bounded by planes x+y+z=6, z=0 and the cylinder= x^2+y^2=4
    2)Find the volume of solid bounded by planes z=3x,z=0and the cylinder= x^2+y^2=1
    I can't find the results when I put the polar coordinates
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  2. #2
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    Re: multiple integrals: cylinder

    Hint: In your triple integral in polar coordinates the limits on the z integral are 0 and 6-y-x, put the limits in polar form.
    Thanks from rikelda91
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  3. #3
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    Re: multiple integrals: cylinder

    i posted an image to show you how i started..i used double integrals alike this problem ..but probably this way is wrong..it would help me if you could tell me you opinion!!!
    Attached Thumbnails Attached Thumbnails multiple integrals: cylinder-1111111.jpg  
    Last edited by rikelda91; May 25th 2013 at 12:51 PM.
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  4. #4
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    Re: multiple integrals: cylinder

    Your question is exactly like the 1 in the video. But I think he goes about it in a more complicated way. Put the whole problem into polar coordinates and integrate with respect to z first.
    Thanks from rikelda91
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