1. **State the problem:** We need to find the volume of a cylinder with diameter 26.8 cm and height 9.8 cm. 2. **Formula for the volume of a cylinder:** $$V = \pi r^2 h$$ where $r$ is the radius and $h$ is the height. 3. **Find the radius:** The radius is half the diameter. $$r = \frac{26.8}{2} = 13.4 \text{ cm}$$ 4. **Substitute values into the formula:** $$V = \pi (13.4)^2 (9.8)$$ 5. **Calculate the squared radius:** $$13.4^2 = 179.56$$ 6. **Calculate the volume:** $$V = \pi \times 179.56 \times 9.8$$ 7. **Multiply the terms:** $$179.56 \times 9.8 = 1760.688$$ 8. **Multiply by $\pi$:** $$V = \pi \times 1760.688 \approx 3.1416 \times 1760.688 = 5528.22$$ 9. **Final answer:** The volume of the cylinder is about **5528.22 cubic centimeters**.