13th September 2013
Torricelli's Trumpet: Infinite Surface Area but Finite Volume
Just read on Torricelli's trumpet in Wikipedia. This states that there is a body having infinite surface but finite volume! That sounds contradictory at first.
Function in question is
from \(x=1\) to \(a\).
Above plot is from Maxima using:
plot3d( [x,1/x*sin(v),1/x*cos(v)], [x,1,8], [v,0,2*%pi] );