The diagram shows the curves y= and y: 1X123x . Let R be the region bounded by these two curves and the x-axis. Answer the following questions. Show' and explain your work. {a} Suppose that a solid is obtained by rotating R around the x-axis. Find the volume of this solid. {bl Find the value of k so that if we cut the solid at x=k, we get two parts of equal volume {see diagram}. (in) Find the value of it so that if we cut the solid at x=k, we get two parts of equal volume (see diagram}