Answer problem in pic

Consider the region bounded by the graphs of y = x, y = 0, and x = 2. (a) Sketch and shade in this 2-dimensional region. Be sure to label your curves and axes, as well as any intersection points. (b) Find the volume of the 3-dimensional solid obtained by rotating this region about the y-axis. Show all of your work and copy your final numerical answer in the box below, rounded to 3 decimal places if rounding is required. (b)