Section 6.5 Physics and Integration

Make sure you read the questions very carefully and see on what its being asked for.

Be careful with question #2 and #3 for this written assignment.

MATH 1522: SECTION 3.5 WRITTEN ASSIGNMENT A tank of water has the shape given by a solid of revolution. This solid is obtained by taking the region bounded by the curve 1; = I2 [for .T 33 {l}. the yaxis. and the line I; = :1 and revolving about the yaJ-ris. This tank is oompletelv lled with water. The length and width of the tank is in meters. 1. Sketch a graph of the region being revolved. Shade in the region and indicate the axis of revolution on the graph. He sure to number the axes so that all important numbers can be read from the graph. 2. Express the work needed to pump the water from the tank to the top of the tank at y = 4 as an integral. Explain your choice of variables if you use different variables. Use the fact that water weighs sane N f ma. 3. Evaluate the integral in #2 to nd the wank needed to pump the water in the tank to the top of the tank. Shmv all the steps of your computation