To dress up your dorm room, you have purchased a perfectly spherical glass fishbowl to place on the windowsill. After placing the sand, decorations, and water in the bowl of diameter 40.0 cm, you transfer a single tropical fish from a plastic bag into the bowl. As you watch the fish, your roommate comes home. He watches the fish also and notices that the apparent size of the fish changes as it swims around in the bowl. (a) He is not taking a physics course, so he asks you to tell him the range of magnifications of the fish as it swims along a line from the back of the bowl along a line passing through the center of the bowl directly toward the observer. (b) Your roommate also asks you if the fish might be baked if it swims through a point at which the rays of the Sun focus at some point as they pass through the curved sides of the bowl. Should you worry about your fish being baked? Ignore the effect of the thin glass walls of the bowl; take only the water into consideration.