The above diagram shows the points and which lie on the curve point on the -axis, and points and on the -axis. If is the solid obtained by rotating the region bounded by about the axis of rotation and the volume of is what is
Note: The above diagram is not drawn to scale.
Let be the solid obtained by rotating the region bounded by and about the line . If the volume of is what is
Let be the solid obtained by rotating the region bounded by and the -axis about the axis of rotation If the volume of is what is
Let be the solid obtained by rotating the region bounded by and the -axis about the line . If times the volume of is what is
Let be the region bounded by , and the x-axis. Let be the solid obtained by rotating about the axis . The volume of has the form . What is the value of ?