Final answer:
The trunk of Kiana's tree can be accurately modeled using a cylinder with a volume of 12π cubic feet, which is calculated with the formula V = πr²h using a radius of 1 ft and height of 12 ft. Option B is correct.
Step-by-step explanation:
The trunk of Kiana's tree which measures 12ft high and has a diameter of 2 ft, can be modeled as a cylinder. The volume of a cylinder is calculated with the formula V = πr²h, where V is the volume, r is the radius, and h is the height. Since the diameter is 2 ft, the radius (which is half the diameter) would be 1 ft. Therefore, we can calculate the volume of the tree trunk as follows:
V = π(1 ft)²(12 ft) = 12π ft³
Thus, the statement that is true about the trunk of Kiana's tree is option B: It can be modeled using a cylinder with a volume of 12π cubic feet.
The trunk of Kiana's tree can be modeled using a cylinder with a volume of 12 pi cubic feet (Option B). To find the volume of a cylinder, we use the formula V = π r^2 h, where r is the radius and h is the height. In this case, the radius is half the diameter, so it is 1 ft. The height is given as 12 ft. Plugging these values into the formula, we get V = π (1 ft)^2 (12 ft) = 12 pi ft^3.