What is the approximate volume of a tree trunk if the trunk is 12 feet tall with a circumference of 4.5 feet?Recall that the circumference of a circle is equal to pi times its diameter.A.25.92 ft3B.19.34 ft3C.29.40 ft3D.21.17 ft3

To solve this problem, we need to first find the diameter of the tree trunk using the given circumference. The formula for the circumference of a circle is C = πd, where C is the circumference and d is the diameter.

Step 1: Solve for diameter (d) Given that the circumference (C) is 4.5 feet, we can rearrange the formula to solve for d: d = C/π = 4.5/π ≈ 1.43 feet

Next, we need to find the radius of the tree trunk, which is half of the diameter.

Step 2: Solve for radius (r) r = d/2 = 1.43/2 ≈ 0.715 feet

The volume of a cylinder (which is the shape of the tree trunk) is given by the formula V = πr²h, where r is the radius, h is the height, and V is the volume.

Step 3: Solve for volume (V) Given that the height (h) is 12 feet, we can substitute the values into the formula: V = π*(0.715)²*12 ≈ 19.34 cubic feet

So, the approximate volume of the tree trunk is 19.34 cubic feet. The correct answer is B.19.34 ft³.