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[Graphs generated by this script: initPicture(-1,8,-5,5);axes(1,1,1,1,1);stroke='blue';strokewidth=2;line([2,3],[6,3]);line([2,-3],[6,-3]);line([6,3],[6,-3]);line([0,0],[2,3]);line([0,0],[2,-3]);]

The graph above shows the base of an object. Compute the exact value of the volume of the object, given that cross sections (perpendicular to the base) are equiangular triangles.

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MathQuill
   x  x    n  |   | (   ) π DNE
   x    (   ) π DNE
( ) ( ] [ ) [ ] —∞ DNE
< > or All Real Numbers DNE
log logn ln n  | | e 
sin cos tan arcsin arccos arctan  
[more..]