Frank,

We measure the volume of a tree by measuring the diameter or girth of the tree 
at different heights.  The length between the measurements, and the respective 
girth or diameter at the top and bottom of that segment is used to calculate 
the volume of that segment of the tree.  These segments are treated like cones 
with their tips cut off- a frustum of the cone.  The formula for calculating 
the volume of the frustum is as Bob stated below.   So you stack all these 
sections together and that gives you the volume of the tree.  The diameters are 
measured by actually climbing the tree or using various electronic instruments 
to measure the girth from the ground.  There are many documents about the 
volume measurement process on the website 
http://www.nativetreesociety.org/measure/index_measure.html , and well a a 
brief outline in the ENTS Tree Measuring guidelines 
http://www.nativetreesociety.org/measure/Tree_Measuring_Guidelines-revised.pdf.

Ed Frank

"Two roads diverged in a yellow wood, And sorry I could not travel both. "
Robert Frost (1874-1963). Mountain Interval. 1920. 
  ----- Original Message ----- 
  From: [EMAIL PROTECTED] 
  To: [email protected] 
  Sent: Thursday, November 13, 2008 8:36 PM
  Subject: [ENTS] Frustum of Cone


  Frank,

       A section of a geometric solid like a cone formed by passing horizontal 
parallel planes through the solid generates a frustum. Practically speaking 
when applied to tree trunks, frustums are just sections of the trunk. There are 
formulas to compute the volumes of frustums of different solids. If D1 and D2 
are diameters of the top and bottom sections and H is the height of the 
frustum, the volume is given by:

           V = H*PI/12*[D1^2 + D2^2 + D1*D2]

    Bob

    -------------- Original message -------------- 
    From: Frank Blau <[EMAIL PROTECTED]> 

    > 
    > What a great report! I wish I lived closer to join you! 
    > 
    > Can you explain the "frustum" process for calculating volume? 
    > 
    > Thanks! 
    > 
    > Frank Blau 
    > Sammamish, WA 
    >
    


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