1. **State the problem:** We need to find the volume of a cylinder with height $h = 82$ ft and diameter $d = 77$ ft. 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: $$r = \frac{d}{2} = \frac{77}{2} = 38.5 \text{ ft}$$ 4. **Calculate the volume:** $$V = \pi (38.5)^2 (82)$$ 5. **Intermediate calculation:** $$V = \pi \times 1482.25 \times 82$$ 6. **Multiply:** $$V = \pi \times 121509.5$$ 7. **Use $\pi \approx 3.1416$:** $$V \approx 3.1416 \times 121509.5 = 381,785.15$$ 8. **Final answer rounded to nearest hundredth:** $$\boxed{381785.15 \text{ cubic feet}}$$