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
