3. [12] The shaded region shown below is revolved about the line y = 1. Set up the integral(s) giving the volume of the resulting solid of revolution. y = 5 y = 2 x+1 y = 1 (axis) X4. [12] A right-circular cylindrical tank is 8 ft high, with a radius of 3 ft. It is three-fourths full of water, having a weight density of 62.5 1b/ft3 . You want to pump all the water to the top and then out of the tank. Set up the integral(s) giving the total work needed to get the job done. Surface level of water 3 ft2. [16] Evaluate the area of the shaded region in Quadrant I below. a. Using vertical integration; b. Using horizontal integration. y =3vx y= -2x+14 - X (0,0)