1. **State the problem:** We need to find the volume of a cylinder with radius $r=12.8$ m and length (height) $h=5.4$ m. 2. **Formula:** The volume $V$ of a cylinder is given by the formula: $$V = \pi r^2 h$$ where $r$ is the radius and $h$ is the height. 3. **Calculate the area of the base:** $$r^2 = (12.8)^2 = 163.84$$ 4. **Calculate the volume:** $$V = \pi \times 163.84 \times 5.4$$ 5. **Multiply:** $$163.84 \times 5.4 = 884.736$$ 6. **Final volume:** $$V = \pi \times 884.736 \approx 3.1416 \times 884.736 = 2779.0$$ 7. **Round to 1 decimal place:** $$V \approx 2779.0 \text{ cubic meters}$$ **Answer:** The volume of the cylinder is approximately 2779.0 cubic meters to 1 decimal place.