Maria and Fred decide to build a geodesic dome and to make life a little easier they make it spherical in shape, but only that portion of a sphere cut off by a plane, and less than a hemisphere.

So now they need to put a roof on it. Maria measures the height h and the slice radius r and asks Fred to work out the surface area. "Thats impossible", says Fred. "Surely it will depend on R, the radius of the sphere and we don't know what that is."

Who is right?

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Note: I know the answer. I just thought this would be a fun problem.