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## Homework Statement

Find the area of the part of z^2=xy that lies inside the hemisphere x^2+y^2+z^2=1, z>0

## Homework Equations

da= double integral sqrt(1+(dz/dx)^2+(dz/dy)^2))dxdy

## The Attempt at a Solution

(dz/dx)^2=y/2x

(dz/dy)^2=x/2y

=> double integral (x+y)(sqrt(2xy)^-1/5) dxdy

Now I'm guessing that a change of coordinates will be useful here. I was thinking spherical coordinates, due to the presence of a sphere. But I'm not too sure?

many thanks :)