Question 4

4. The graph of y = 3:2 on U E a: E 2 is revolved about the yaxis to form a tank that is then lled with salt water. weighing 73 lbs/fta. {a} Sketch a graph of the region of rotation and the axis of rotation on the same graph. (b) Express the work needed to pump all the salt water to the top of the tank as an integral. {c} Find the work needed to pump the salt water by evaluating the integral