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Math Help - Vector Calculus

  1. #1
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    Vector Calculus

    Question

    Find the surface area of that portion of the sphere x^2 + y^2 + z^2 = a^2 that is above xy-plane and within the cylinder x^2 + y^2 = b^2 , 0 < b < a

    Solution.. i try to find fx and fy..
    Vector Calculus-.jpg

    how am i going to proceed?
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Re: Vector Calculus

    You'll obtain A=a\iint_{D}\dfrac{dxdy}{\sqrt{a^2-x^2-y^2}} with D\equiv x^2+y^2\leq b^2 now, use polar coordinates.
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