Instructions: Set up an integral formula for each question and show your work. No need and no credit for evaluation of the integrals. Please write your solution on a piece of paper (no need to copy the problems), and take a picture of your work (set your camera to the lowest resolution), and submit your work by the due time to Assignments of Laulima. Late submission is subject to partial credit deduction. 1. (18 points) Refer to picture (a) to find volumes of the solids of revolution of the plane region about each given axis: 1) (10 points) Rotate the plane regiond about line x=2, using washer method. 2) (15 points) Rotate the plane regiond about line y=1, using shell method. 2. (12 points) Refer to picture (b) to set up an integral formula for the work it takes to empty a full hemispherical water reservoir of radius 3 meters by pumping the water to a height of 4 meters above the top of the reservoir. Water weighs 9800N/m3. (a) (b)