Find Surface Area of Sphere Part Above xy-Plane & Within Cylinder

naspek
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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..

http://imageshack.us/f/594/33049204.jpg/"

how am i going to proceed?
 
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It would be very simple with spherical polar coordinates.

ehild
 

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