Final answer:
To determine how much water Teresa should pour into the vase, we need to find the volume of the vase using the formula V = πr²h. Once we have the volume, we can multiply it by 5/8 to find the amount of water needed.
Step-by-step explanation:
To determine how much water Teresa should pour into the vase, we need to find the volume of the vase. The formula to find the volume of a cylinder is V = πr²h, where r is the radius and h is the height. In this case, the radius is 2 inches and the height is 9 inches. Substitute these values into the formula:
V = 3.142 × (2 in)² × 9 in = 113.04 in³
Next, we need to find 5/8 of the volume to determine how much water should be poured. Multiply the volume by 5/8:
113.04 in³ × 5/8 ≈ 70.65 in³
Therefore, Teresa should pour approximately 70.65 cubic inches of water into the vase.