The Number of Board Feet of Lumber in a Log

question 61

Multiple Choice

The number of board feet of lumber in a log that is 10 feet long is given by the formula , where D is the diameter of the tree in inches. In a tree that will produce a 10 foot log and has a current diameter of 22 inches, the diameter is changing at a rate of 3.45 inches per year. How fast is the volume increasing?

• A) 22.5 ft³/year
• B) 38.8125 ft³/year
• C) 77.625 ft³/year
• D) 11.3 ft³/year
• E) 202.5 ft³/year

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