Question 5 Let R be the region bounded by the parabola x = 8y and the line x-2y+8=0. [A sketch of the two curves might be helpful.] (a) Find the area of the region R. You must show your working in order to obtain full marks. (6 marks) (b) Using the disk/washer method, find the volume of the solid of revolution obtained when R is rotated 27 radians about the x-axis. You must show your working in order to obtain full marks. (6 marks) (c) Using the method of cylindrical shells, find the volume of the solid of revolution obtained when R is rotated 27 radians about the line x = -5. You must show your working in order to obtain full marks. (8 marks)