The region bounded by [tex]y=r^2-x^2[/tex], y = 0, and x = 0 is revolved about the y-axis to form a paraboloid. A hole, centered along the axis of revolution, is drilled through this solid. The hole has a radius k, 0 < k < r.
(a) Find the volume of the resulting ring by integrating with respect to x.
(b) Find the volume of the resulting ring by integrating with respect to y.
