The following series:
is divergent. The stack would be infinitely high.
Surface Area = 4*pi*r^2
-> Total surface area =
This is the famous harmonic series. Also divergent. So surface area is infinite.
3) You can probably see where this one will lead. Since volume is proportional to r^3, you will have an overharmonic series which will converge:
-> Weight = 10.94 newtons
Thus, infinite height, infinite surface area, finite weight.