Final answer:
To determine how many cylindrical cups can be filled with water from two cylindrical containers, first calculate the volume of one cup and then divide the total volume of water by the volume of one cup. The total volume available is 2 * 550π cubic inches, and the volume of each cup is 13.5π cubic inches, resulting in 81 full cups of water.
Step-by-step explanation:
The question involves finding out how many full cups of water two large cylindrical containers can supply. Each container holds 550π cubic inches of water. To find out how many cups can be filled, we first need to calculate the volume of one cup. Using the formula for the volume of a cylinder (V = πr²h), where r is the radius (half the diameter) and h is the height, we get the volume of the cup:
Since the diameter of the cup is 3 inches, the radius r is 1.5 inches. The height h is 6 inches. Thus, the volume of one cup is:
V = π(1.5)^2(6) = 13.5π cubic inches
To find out the total volume of water available from both containers, we multiply the volume of one container by 2:
Total volume of water = 2 × (550π) cubic inches
The number of cups is the total volume of water divided by the volume of one cup:
Number of cups = (2 × 550π) ÷ 13.5π = 81 cups
Therefore, the answer is B) 81 full cups of water.