To fit a contact lens to a patient's eye, a keratometer can be employed to calculate the curvature of the cornea -- the front surface of eye. This instrument places an illuminated object of known size at an identified distance p from the cornea, which then reflects some light from the object, forming an image of it. The magnification M of image is calculated by employing a small viewing telescope which permits a comparison of the image formed by the cornea with a second calibrated image projected into the field of view through a prism arrangement. Find out the radius of curvature of the cornea if p = 35.0 cm and M = 0.0100.