In the figure below is a collection of eight cylindrical disks that can be used to approximate the volume of the solid created when the region bounded by
$\qquad y=\ln x~~$ and the $~~x$-axis, for $~x\in[2,4]\,$
is rotated about the $~x$-axis.
[Note: The radius of each cylinder is taken at the right-hand endpoint of each interval. Additionally, the interval $~[2,4]~$ has been partitioned into equal sub-intervals.]

Which of the following expressions is the sum of the volumes of the eight cylinders?
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