Let R be the region in Quadrant I bounded by the graphs of y=x^2 and y=2-x^2. Region R is the base of a solid whose cross sections perpendicular to the x-axis are equilateral triangles. Find the volume of this solid.
The chapter is "Volume of a Solid by Plane Slicing" and the explanation section, as well as what I have found online, has not been helpful. When I went through the problem, I got V=1.1547 as my answer, but the textbook gives 0.9237 as the answer.
If anyone could walk me through this I would greatly appreciate it.
Thank you