How can one blow/work with borosilicate glass to a container of precise dimensions?
Borosilicate also goes by the brand name Pyrex. If you perform a search for "borosilicate glass cylinder" you will find some sources of various sizes of tubing.

If you have access to a sufficient powerful heat source, you can heat the tubing and force it to close. 

A quick bit of research shows the working temperature to be 1245°C, attainable by MAPP gas torches at the consumer level. If you know someone who does gas welding, oxy-acetylene torches will reach the necessary temperatures at a lower cost overall.