You are to design a thin lens for eyeglasses that will have afocal length of 10 cm. You only have tools that will allow you toshape glass surfaces with the following radii for convex surfaces:4, 8, 12, 16, 18, and 21 cm, and the following radii for concavesurfaces 3, 6, 7, 10, 12 and 14 cm. The glass to be used has anindex of refraction of 1.48. Determine a combination you can use tomake this lens. State the radii of curvature used for each surface,and whether it is concave or convex.