x 0 0.5 1.0 1.5 2.0 2.5 3.0 f(x) 2 1.3 0.9 0.6 0.7 1.1 1.9 Find a formula for the volume V of the solid whose base is the region bounded by y = f(x), the x-axis, and the line x = 3 and its cross-sections perpendicular to the x-axis are semicircles.** So, I plotted the points and got a graph that looks something like this: http://i.imgur.com/AiFo6.jpg Now to start on actually solving the problem. So I figure that we should break the region up into a small dx pieces, and just sum up all of these pieces using an integral. However, I'm having trouble figuring our what the area of each piece will be. Any help?