Final answer:
The approximate volume of the tree trunk is 13.847 cubic feet.
Step-by-step explanation:
To find the volume of the tree trunk, we can approximate it as a cylinder. The formula to calculate the volume of a cylinder is V = πr²h, where r is the radius and h is the height. In this case, the circumference of the tree trunk is given as 4.5 feet.
We can use this information to find the radius, as circumference = πd, where d is the diameter.
So, the diameter is 4.5/π = 1.432 feet. The radius is half of the diameter, which is approximately 0.716 feet.
The height of the trunk is given as 13 feet. Now, we can substitute the values into the formula to find the volume: V = π(0.716)²(13) ≈ 13.847 cubic feet.