FOREST commissioner's REPORT. 87 



The volume desired is that of the shell of wood on the outside of 

 the figure, or the contents of the outer cone, less that of the inner 

 one. 



Under the circumstances, working the cumbersome exact formula 

 for the theoretical figure was thought unnecessary. The volume of 

 the outer figure is approximately the mean of the two rings at top 

 and bottom multiplied by the length of the stick. The stump not 

 having been measured like sections above it, the area of the top 

 ring alone was used for butt logs. This being understood, the 

 data of the problem is all found in the schedules, in the length of 

 the logs concerned, the diameter of the wood at the top end of 

 each, and the width at the same points of the outer ten rings. 

 These given, with a table of circles, the areas and volumes desired 

 are readily calculated. 



I give here the schedule of a tree cut on the south slope of Little 

 Squaw Mountain, and a solution of the problems involved. 



