which is obtained by rotating the area bounded by the graph of
and the x-axis about the x-axis.
In the animation above, you can see how by increasing the number of equal-sized intervals the sum of the volumes of cylinders can better approximate the volume of the rotated solid.
The following table indicates the sums of the various volumes of the cylinders n indicates the number of cylinders.
0.10471976 appears to be a reasonable estimate of our volume.