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Disk & washer methods challenge

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
y=lnx  \qquad y=\ln x~~ and the   x~~x-axis, for  x[2,4]~x\in[2,4]\,
is rotated about the  x~x-axis.
[Note: The radius of each cylinder is taken at the right-hand endpoint of each interval. Additionally, the interval  [2,4] ~[2,4]~ has been partitioned into equal sub-intervals.]
Which of the following expressions is the sum of the volumes of the eight cylinders?
Choose 1 answer:
Choose 1 answer: