Final answer:
The height of the water in the second glass is approximately 1.41 inches.
Step-by-step explanation:
To find the height of the water in the second glass, we need to calculate the volume of water in the first glass and then use that volume to find the height in the second glass.
Step 1: Calculate the volume of water in the first glass using the formula V = πr²h, where r is the radius and h is the height.
Volume of water in first glass = 3.14 × (2 inches)² × 3 inches = 37.68 cubic inches
Step 2: Use the volume of water in the first glass to calculate the height of the water in the second glass.
The volume of water in the second glass is equal to the volume of water in the first glass, so we can use the formula V = πr²h again.
37.68 cubic inches = 3.14 × (3 inches)² × h
h = 37.68 cubic inches / (3.14 × (3 inches)²) ≈ 1.41 inches
Therefore, the height of the water in the second glass is approximately 1.41 inches.