Final answer:
The total volume of water in 12 water balloons, each with a radius of 3 inches, is found by calculating the volume of one balloon using the formula V = (4/3)πr³ and then multiplying by 12. The answer is 432π cubic inches.
Step-by-step explanation:
The question asks to find the total volume of water in 12 water balloons, with each having a radius of 3 inches. To find the volume of one water balloon, we use the formula for the volume of a sphere, which is V = (4/3)πr³. First, we calculate the volume of a single balloon:
V = (4/3)π(3 inches)³
V = (4/3)π(27 cubic inches)
V = 36π cubic inches
To find the total volume for 12 balloons, we simply multiply the volume of one balloon by 12:
Total Volume = 12 × (36π cubic inches)
Total Volume = 432π cubic inches
Therefore, the correct answer is C. 432π cubic inches.