Final answer:
To find the circumference of the base of a circular cone, you can use the formula C = 2πr, where C is the circumference and r is the radius. By using the formula for the volume of a cone and rearranging it to solve for r, you can find the radius of the base. Then, plug the radius into the formula for the circumference to find the answer.
Step-by-step explanation:
To find the circumference of the base of a circular cone, we need to find the radius of the base. We can use the formula for the volume of a cone, which is V = ⅓πr²h, where V is the volume, r is the radius, and h is the height. Rearranging the formula, we have r² = 3V/(πh). Plugging in the given values, we have r² = 3(48π)/(π*9) = 16. Simplifying, we find that r = 4. The circumference of the base of the cone is given by the formula C = 2πr, so C = 2π(4) = 8π meters. Therefore, the correct option is d) 24π meters.