14. There are three cubic water pools, large, medium, and small, with inner edge lengths of 6 meters, 3 meters, and 2 meters, respectively. Two piles of gravel are submerged in the medium and small pools, causing the water levels to rise by 6 centimeters and 4 centimeters, respectively. If these two piles of gravel are submerged in the large pool, the water level in the large pool will rise by $\qquad$ centimeters.
Answer: $\frac{35}{18}$