An old problem http://scidiv.bcc.ctc.edu/Math/ArchimedesTombstone.html
dt At 11:48 AM 9/23/2007, you wrote: >Thank you, Dana. In other words, to double the length of a cylinder >while conserving the volume we decrease the diameter by a third? I can >picture it in my mind but would have severely fumbled the math. > >A friend writes off-list of a 4" double bass string. "You have to >Believe!" he adds. > >As for getting it through the bridge hole it should be quite easy: >Stretch to the appropriate diameter and then cut it in the middle. >Science really isn't as hard as it looks. > >Sean > > >On Sep 23, 2007, at 11:30 AM, [EMAIL PROTECTED] wrote: > > > On Sun, Sep 23, 2007, Sean Smith <[EMAIL PROTECTED]> said: > > > >> Then I wondered: if you are stretching it to, say, 3 times its length > >> then it must be purchased at 3x the diameter (the mass must remain > >> constant, right?) How does one push that through the bridge hole? > > > > Mass must be conserved, but the mass of a cylindrical prism is the > > product > > of sectional area and length, so the sectional area will be thirded, > > and > > that will reduce the diameter (=2r) by the square root of 3 (~1.7). > > > > -- > > Dana Emery > > > > > > > >To get on or off this list see list information at >http://www.cs.dartmouth.edu/~wbc/lute-admin/index.html
