A 6" x 6" piece of wood of the required length would need to be planed down to a dowel of 6" diameter. A 6" diameter dowel is not a standard size carried in DIY stores. A local woodworker/carpenter would be able to produce the dowel if you can't do it yourself.
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Assuming it is a rod, the difficulty lies in that it can't measure the diameter of the beaker. Unless you were to attempt to find out the Radius/Diameter, then work out the circumference from that.
You cannot, there is no single-rule, formulaic relationship between mass and physical measurements like length or diameter.
The weight of 1 foot of steel rod would depend on the diameter of the rod.
10mm ms rod for waight
A meter rod may not fit cross-wise inside a breaker (whatever that is).