Final answer:
To find the volume of a cone-shaped funnel, use the formula V = 1/3πr²h. Checking the given options, the funnel with a radius of 18 cm and a height of 15 cm has a volume closest to the desired volume of 13507 cm³.
Step-by-step explanation:
To find the volume of a cone-shaped funnel, we can use the formula V = 1/3πr²h, where V is the volume, r is the radius of the base, and h is the height of the cone. Comparing the given options, we can calculate the volume for each choice:
A. V = 1/3π(15 cm)²(18 cm) = 14130 cm³
B. V = 1/3π(15 cm)²(30 cm) = 14130 cm³
C. V = 1/3π(18 cm)²(15 cm) = 15390 cm³
D. V = 1/3π(30 cm)²(15 cm) = 14130 cm³
Based on the calculations, option C has a volume of 15390 cm³, which is closest to the desired volume of 13507 cm³. Therefore, the correct answer is C.