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Conference rusure::math

Title:Mathematics at DEC
Moderator:RUSURE::EDP
Created:Mon Feb 03 1986
Last Modified:Fri Jun 06 1997
Last Successful Update:Fri Jun 06 1997
Number of topics:2083
Total number of notes:14613

974.0. "A Problem in Analytic Geometry" by HPSTEK::XIA () Thu Nov 10 1988 16:22

    The following is a problem assigned in one of my freshman calculus
    class.  (I was very proud of this since I was the only one who turned
    in the solution and later proved that the solution the professor gave
    was wrong :-) :-) ).
    
    Take a cube and spin along the axis that goes through a pair of
    diagnal vertices (The vertices who are (3)^(1/2) apart assuming
    the edges have length 1).  Describe the object as the result of
    spinning.
    
    Eugene
T.RTitleUserPersonal
Name
DateLines
974.1Japanese Lantern?AKQJ10::YARBROUGHI prefer PiThu Nov 10 1988 18:579
Is this one reserved for new folks? Solution follows:


The solid of revolution is in three sections of height \/(1/3) = .5774 and
radius \/(2/3) = .8165 ["\/" = sqrt]. The top & bottom are identical
circular cones. The center section is a truncated hyperbolic paraboloid
whose 'waist' radius is \/(1/2) = .7071 . 

Lynn Yarbrough 
974.2AITG::DERAMODaniel V. {AITG,ZFC}:: D'EramoThu Nov 10 1988 20:355
>>   Describe the object as the result of spinning.
     
     It will get dizzy. :-)
     
     Dan