Chapter 6.3, Problem 9E

General slicing method Use the general slicing method to find the volume of the following solids.

9. The solid whose base is the region bounded by the curve $y=\sqrt{\cos x}$ and the x-axis on [−π/2, π/2], and whose cross sections through the solid perpendicular to the x-axis are isosceles right triangles with a horizontal leg in the xy-plane and a vertical leg above the x-axis