Final answer:
To find the volume of a cone, use the formula V = (1/3)πr²h and plug in the given values.
Step-by-step explanation:
To find the volume of a cone, we can use the formula V = (1/3)πr²h, where r is the radius and h is the height of the cone. Given that the diameter of the cone is 12 m, the radius can be calculated by dividing the diameter by 2, giving us r = 6 m. Plugging in the values into the formula, we get V = (1/3)π(6 m)²(6 m) = 72π m³.
To get the volume in a numerical value, we can use an approximation for π, which is 3.142. Therefore, the volume of the cone is approximately 72(3.142) m³ ≈ 226.195 m³. So, the correct answer is C. 72 m³.