A contact lens rest against the cornea of the eye. An optometrist uses a keratometer to measure the radius of curvature of the cornea, thereby ensuring that the prescribed lenses fit accurately. In the keratometer, light from an illuminated object reflects from the corneal surface, which could be consider a convex mirror in this case and forms an upright virtual image that is smaller than the object. For a patient, with an illuminated object placed 9 cm in front of the cornea, the magnification by the corneal surface is measured to be 0.046. Determine the radius of the cornea for this patient.