A more general analysis of refracting surfaces would include the case of refraction of light at a spherical interface such as a fishbowl. Similar to the thin lens equation, the expression relating the object distance, image distance, indices of refraction, and the radius of curvature of the surface is given by 

where n₁ and n₂ are indices of refraction to the left and right of the refracting surface, respectively. For the configuration shown in Figure P24.95, the radius of curvature of the bowl is R = -15 cm and the fish is at the center of the bowl, 10 cm from the curved surface and 8.0 cm down from the top. We can neglect the glass bowl and only consider the refraction due to the water. Determine the image distance of the fish as viewed from
(a) the side
(b) the top. 

You’ll need to determine the radius of curvature of a flat surface to answer part (b).