1. **State the problem:** We need to find the volume of a cylinder with diameter 11 m and height 15 m, then convert that volume to liters and round to the nearest liter. 2. **Formula for the volume of a cylinder:** $$V = \pi r^2 h$$ where $r$ is the radius and $h$ is the height. 3. **Calculate the radius:** $$r = \frac{\text{diameter}}{2} = \frac{11}{2} = 5.5\text{ m}$$ 4. **Calculate the volume in cubic meters:** $$V = \pi (5.5)^2 (15) = \pi (30.25)(15) = 453.75\pi\text{ m}^3$$ 5. **Approximate the volume:** $$V \approx 453.75 \times 3.1416 = 1425.22\text{ m}^3$$ 6. **Convert cubic meters to liters:** Since $1\text{ m}^3 = 1000$ liters, $$1425.22 \text{ m}^3 = 1425.22 \times 1000 = 1,425,220 \text{ liters}$$ 7. **Round to the nearest liter:** $$\boxed{1425220 \text{ liters}}$$ This is the volume needed to fill the cylinder rounded to the nearest liter.