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?

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The Answer of 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?

The Number of Board Feet of Lumber in a Log