Part a and b answer already. Only need the answer for part c which ask Find the volume of S for r = 2. I need exact form of answer not decimal thanks

The solid S in the figure is the intersection of two cylinders of radius r whose axes are perpendicular. (a) The horizontal cross section of each cylinder at distance y from the central axis is a rectangular strip. Find the strip's width. (Express numbers in exact form. Use symbolic notation and fractions where needed.) strip's width: - 21/72 -12 (b) Find the area of the horizontal cross section of S at distance y. (Express numbers in exact form. Use symbolic notation and fractions where needed.)