In this problem, we will find the volume of a solid with circular base of radius 2, for which parallel cross-sections perpendicular to the base are squares. To do this, we will assume that the base is the circle x2+y2=4, so that the solid lies between planes parallel to the x-axis at x=2 and x=−2. The cross-sections perpendicular to the x-axis are then squares whose bases run from the semicircle y=√−4−x2 to the semicircle y = √4−x2 Required:
a. What is the area of the cross-section at x?
b. What is the volume of the solid ?