Volumes: Revolving Around Name 8.7 Other Axes Homework Date Period Problems 1- 9, Find the volume of the region bounded by the given functions and revolved about the given line. 1. y = x2 +1 ; x = 0; y = 2 about the line y = 2 2. y = 4 - x2; y = 0 about the line y = 4 3. y = Vx ; y = 0; x = 4 about the line y = 47. y = x2; y = x about the line y = 3 8. x = y?; x = y about the line y = -1 9. y = 2x + 1, x = 4, and y = 3 about the line x = -310. y = 2x ; y = = x3, x = 0, and y = 0 about the y-axis 11. Let R be the region in the first quadrant bounded by the graph of y = 27 - x3/2, the x-axis, and the jaxis. Find an approximation of the volume of the solid generated when R is revolved about the x-axis. Show the integral used to calculate your answer. 12. Let R be the region enclosed by the graph of y = x2, the line x = 4, and the x-axis. Write an integral expression that will approximate the volume of the solid generated when R is revolved about the y-axis. Find an approximation of the volume