Create a bucket by rotating around the y axis the curve y = 21n(a: 1) from y = 0 to y = 10. If this bucket contains a liquid with density 860 kgz'm3 filled to a height of 6 meters, find the work required to pump the liquid out of this bucket [over the top edge). Use 9.8 mKs2 for gravity. A bucket that has a mass of 20 kg when filled with sand needs to be lifted to the top of a 10 meter tall building. You have a rope that has a mass of 0.4 kgfm that must be secured to the bucket. It takes 1 meter of rope to secure the bucket. Once the bucket reaches the top of the building it only has mass 13 kg because there was a hole in the bottom and sand was leaking out at a constant rate while it was being lifted to the top of the building. Find the work done lifting the bucket (sand and rope) to the top of the building