The Number of Board Feet of Lumber in a Log

question 68

Short Answer

The number of board feet of lumber in a log that is 12 feet long is given by the formula , where D is the diameter of the tree in inches and V is the volume of the tree in ft³. In a tree that will produce a 12 foot log and has a current diameter of 13 inches, the diameter is changing at a rate of 2.1 inches per year. How fast is the volume increasing?

---

Definitions:

Right-Tailed

Refers to a type of hypothesis test where the area of interest is in the right tail of the probability distribution, usually testing for values greater than a certain number.

Uniformly Distributed

A statistical distribution where all outcomes are equally likely; each variable has the same probability.

Null Hypothesis

A hypothesis that suggests there is no statistical significance in a set of given observations, asserting that any observed difference is due to chance.

Uniformly Distributed

Describes a distribution where all outcomes are equally likely, or a variable where all intervals of the same length have the same probability.