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Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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is this a test?
is it a newtonian or non-newtonian volume?
are we rotating it thru 3d or a greater dimension (4,5,6d) ??

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is it not just cylindrical shell or soemthing? am i missing soemthing?
i always hated these just saying
|dw:1351170930808:dw|
Find the volume by slicing. For some reason the visual is hard for me to visualize.
hmm.. i knew there was something more....
a mod's question is never easy.....
|dw:1351171102661:dw|
Cant we just do translation |dw:1351171080137:dw|
pi(R^2-r^2) * height (from 0 to 2 is all the same R,rs) from 2 to 4 R is still 3 but r = x
\[\int_{h=0}^{h=2}\pi(3^2-1^2)dh+\int_{h=2}^{h=4}\pi(3^2-(h-1)^2)dh\]
  • phi
a cylindrical shell approach makes sense for this problem |dw:1351171541916:dw|
man who said art was dead? look at these pictures!
Omg. Great. @amistre64 I see it now. Thanks.
;)
like old home week around here today

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