Direction: Answer & explain the attached picture.

ACTION: ASSESSMENT 1. How much work is done in lifting a 100 kilogram weight from the surface of the earth to an orbit 35,786 kilometers above the surface of the earth? = 2. How much work is done in lifting a 100 kilogram weight from an orbit 1000 kilometers above the surface of the earth to an orbit 35,786 kilometers above the surface of the earth? 3. A water tank has the shape of an upright cylinder with radius r = 1 meter and height 10 meters. If the depth of the water is 5 meters, how much work is required to pump all the water out the top of the tank? 4. Suppose the tank of the previous problem is lying on its side, so that the circular ends are vertical, and that it has the same amount of water as before. How much work is required to pump the water out the top of the tank (which is now 2 meters above the bottom of the tank)? =5. Use integration to find the volume of the solid obtained by revolving the region bounded by c +y = 2 and the r and y axes around the r-axis. = 6. Find the volume of the solid obtained by revolving the region bounded by y = r - r and the r-axis around the r-axis. = 7. Find the volume of the solid obtained by revolving the region bounded by y = vsin a between 1 =0 and + = */2, the y-axis, and the line y = 1 around the r-axis. =