Question

A dedicated sports car enthusiast polishes the inside and outside surfaces of a hubcap that is a thin section of a sphere. When she looks into one side of the hubcap, she sees an image of her face 27.0 cm in the back of the hubcap. She then flips the hubcap over and sees another image of her face 10.0 cm in the back of the hubcap.

(a) How far (in cm) is her face from the hubcap?

______cm

(b) What is the radius of curvature (in cm) of the hubcap?
______cm

(c) What If? If she wishes to project an image of herself on the garage wall 2.70 m behind her, how far from her face (in cm) should she hold the hubcap?

______cm

(d) What is the magnification of the image on the wall?_________

Answer 1