A dedicated sports car fan polishes the inside and outside surfaces of a hubcap which is a section of a sphere. When he looks into one side of the hubcap, he observes an image of his face 29.0 cm in back of the hubcap. He then turns the hubcap over, keeping it the similar distance from his face. He now observes an image of his face 10.4 cm in the back of hubcap.
(i) Determine how far is his face from the hubcap?
(ii) Determine the radius of curvature of the hubcap?