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What would you call this shape? shape

Not the shape in green, I mean the entire object.

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    Agreed, I'm hardly in a position to critique anyone else's response. :)2012-01-04

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It is a cylindrical segment or truncated cylinder or perhaps more specifically a cylindrical wedge.

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Cylindrical wedge: see http://mathworld.wolfram.com/CylindricalWedge.html

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    This is the special case where $a=0$ and $b=2R$.2012-01-03