1. **State the problem:** Find the volume of a cylinder with diameter 15 m and height 5 m, rounding to the nearest tenth. 2. **Formula:** The volume $V$ of a cylinder is given by $$V = \pi r^2 h$$ where $r$ is the radius and $h$ is the height. 3. **Calculate the radius:** The radius $r$ is half the diameter, so $$r = \frac{15}{2} = 7.5\text{ m}$$ 4. **Substitute values into the formula:** $$V = \pi (7.5)^2 (5)$$ 5. **Calculate the square of the radius:** $$7.5^2 = 56.25$$ 6. **Calculate the volume:** $$V = \pi \times 56.25 \times 5 = 281.25\pi$$ 7. **Approximate using $\pi \approx 3.1416$:** $$V \approx 281.25 \times 3.1416 = 883.572$$ 8. **Round to the nearest tenth:** $$V \approx 883.6\text{ cubic meters}$$ **Final answer:** The volume of the cylinder is about **883.6** cubic meters.