Consider the region bounded by y=x^3 +24x^2 + 192x 0<=x<=2 on the left, by x axis along the bottom, by the line y=488 along the top, and by the line x=4 along the right. Suppose the region is revolved around the line x=8 to produce a solid of revolution. Find the network done in turning this solid upside down. Assume that the solid is made of a metal alloy whose density is 9200 kg/m^3 and units are meters. Express answer in Joules.
My first question is what od they mean by turning it upside down. FLipping it so it's underneath the x-axis? Where do I go from there?