Sketch the region enclosed enclosed by the lines x=0, x=6, y=2, y=6. Revolve around y-axis, and name the solid formed. Find the volume of the solid. Please show how you get the radius and what shell method is.

Every weekday, mr. jones bikes from his home to his job. sometimes he rides along two roads, the long route that is shown by the solid lines. other times, he takes the shortcut shown by the dashed line. how many fewer kilometers does mr. jones bike when he takes the shortcut instead of the long route?