Explanation:

- Volumes: Ratio is 2:3. Since volume = length × breadth × height, Volume 1/Volume 2 = (l1 × b1 × h1) / (l2 × b2 × h2)

- Hence, (4/5) × (3/4) × (h1/h2) = 2/3

- Simplifying gives: (h1/h2) = (2/3) × (5/3) × (4/3)

- Solve the equation: To find the ratio of heights, solve h1/h2 = (2/3) × (5/3) × (4/3)

- This simplifies to (h1/h2) = 40/27.

- Check Options:

- Option 1: 3:5 - Does not match.

- Option 2: 10:9 - Does not match.

- Option 3: 8:15 - Does not match.

- Option 4: 2:3 - Is derived from simplifying initial ratios and matches 40/27 better.

. The correct answer should relate to simplification but verifying steps here, actually closely relates to correct setup and demonstrating checking properly.