sci.physics.electromag

You guys know a lot. How about a quick and dirty answer for this one.
I'm looking at some super strong magnets from United Nuclear.
http://www.unitednuclear.com/magnets.htm

The magnets are listed by size and lifting power. Say I'm going to buy
a rod magnet(s) in some length. The questions I want to answer is
1. What is the magnetic field right at the surface of the magnet (with
the magnet in free space)

2. How does the magnetic field fall off with distance on the
centerline of the rod as you move away from the end surface.

and

3, What is the field as above if I place two magnets along the same
axis but spaced apart by some distance d. (only interested in the
field in the gap on the centerline, not in the whole field
distribution around the magnets. )

Of course eventually I'll just buy some of these since they are pretty
cheap and use a Hall probe to get the "real" answer, but it just
seemed to me I could get a handle on this with just the magnet
dimensions and the lifting force to help me decide what to order.
Doesn't the lifting force equal something like BH/2 ?

It almost seems to me that since the lifting force is per unit area
that the field at the centerline and surface is independent of the
diameter of the rods? Is that right?

Thanks.