Use the method of cylindrical shells to nd the volume generated by rotating the region bounded by the 4x2 given curves about the y-axis. y = 2e , y = 0, x = 0, x = 1 A leaky 10 lb bucket is lifted from the ground to a height of 20 ft at a constant speed with a rope that weighs 0.5 lb per foot. Initially the bucket contains 60 lb of water, but the water leaks at a constant rate and nishes draining just as the bucket reaches the 60 ft level. How much work is done