Surface Area - Paraboloid interaction with a Sphere

A sphere of radius $6$ is centered at $(5, 0, 6)$ , and a paraboloid is given by $z = 0.25 x^2 + 0.25 y^2$ . Find the total surface area of the region that is inside the sphere and above the surface of the paraboloid, where the above direction is along the positive $z$ direction. Round your answer to the nearest integer.