$34\mathrm{.}23$ A Spherical Fish Bowl. A small tropical fish is at the center of a water$-$filled, spherical fish bowl $28\mathrm{.}0$ cm in diameter. $($a$)$ Find the apparent position and magnification of the fish to an observer outside the bowl. The effect of the thin walls of the bowl may be ignored. $($b$)$A friend advised the owner of the bowl to keep it out of direct sunlight to avoid blinding the fish, which might swim into the focal point of the parallel rays from the sun. Is the focal point actually within the bowl?