34 (15 points} The diagram shows the curves y: and y: 1M 1233: . Let R be the region bounded by these two curves and the x-axis. Answer the following questions. Show and explain your work. (3) Suppose that a solid is obtained by rotating R around the x-axis. Find the volume of this solid. 0:) Find the value of k so that if we cut the solid at x = k, we get two parts of equal volume {see diagram)