Consider the region bounded by x2 + y2 = 64 with x ≥ 0, and y ≥ 0. A solid is created so that the given region is its base and cross-sections perpendicular to the x-axis are squares. Set up a Riemann sum and then a definite integral needed to find the volume of the solid.
a. What is the approximate volume of a slice perpendicular to the x-axis?
b. In your definite integral what is the lower endpoint?
c. In your definite integral what is the upper endpoint?