In: Math
1. A 10 ft chain weighs 25 lb and hangs from a ceiling with a 5 lb weight attached to the end. Find the wok done lifting the lower end of the chain and the weight to the ceiling so that they are level with the upper end.
2. Use the method of cylindrical shells to find the volume formula for a sphere with radius r. (in our example we used the disk method. You formula should be the same, but the integral you use to get there should be different.