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For a tree width dbh = 45.6 cm, height = 27 m and the total stem volume of 1.78 cm³, the artificial form factor for the tree is?

a. 0.1
b. 0.2
c. 0.3
d. 0.4

Respuesta :

sqdancefan

Answer:

  d.  0.4

Step-by-step explanation:

You want the artificial form factor of a tree with dbh = 45.6 cm and height of 27 m, if the stem volume is 1.78 m³.

Form factor

The artificial form factor is the ratio of the stem volume to the volume of a cylinder with the same dimensions.

Cylinder volume

Using this formula, we can find the volume of a cylinder with the same dimensions as the tree stem:

  V = (π/4)d²h

  V = (π/4)(0.456 m)²(27 m) ≈ 4.409 m³

Then the ratio of actual volume to cylinder volume is ...

  form factor = (1.78 m³)/(4.409 m³) ≈ 0.4 . . . . . matches choice D

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