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Math Help - Surface Area

  1. #1
    Junior Member
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    Question Surface Area

    Find the area of the surface.

    The portion of the cone z = 2(x^2 +y^2)^1/2 inside the cylinder x^2 + y^2 = 4.
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  2. #2
    Math Engineering Student
    Krizalid's Avatar
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    you're looking for the surface area of the part z=2\sqrt{x^2+y^2} and (x,y) was given from the disk x^2+y^2\le4.

    compute f_x,f_y so the double integral is \iint\limits_{x^{2}+y^{2}\le 4}{\sqrt{1+\left( f_{x} \right)^{2}+\left( f_{y} \right)^{2}}\,dA}, and the bounds in polar coordinates are 0\le r\le2, 0\le\varphi\le2\pi.
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  3. #3
    Member Miss's Avatar
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    Sorry.
    I thought he wants the volume.
    also I made another typo; it should be without f. :O
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