This still may not be large enough.

http://s3-production.bobvila.com/articles/wp-content/uploads/2013/10/plumb-line.jpg

My old brass plumb bob works well as a cone when inverted. They usually have 
female
threads on the non-point end.  Mine is about 6 cm or 2.5 inches. I have it on a 
small, 2 foot long
meridian dial.  sasch stephens
                                                                                
  
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