# Math Help - Surface Area

1. ## 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.

2. 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 $0\le r\le2,$ $0\le\varphi\le2\pi.$

3. Sorry.
I thought he wants the volume.
also I made another typo; it should be without f. :O