1. **State the problem:** We need to find the volume of a sphere with a diameter of 8 ft. 2. **Formula for the volume of a sphere:** $$V = \frac{4}{3} \pi r^3$$ where $r$ is the radius of the sphere. 3. **Find the radius:** The radius is half the diameter, so $$r = \frac{8}{2} = 4 \text{ ft}$$ 4. **Calculate the volume:** Substitute $r = 4$ into the volume formula: $$V = \frac{4}{3} \pi (4)^3 = \frac{4}{3} \pi 64$$ 5. **Simplify:** $$V = \frac{4}{3} \times 64 \pi = \frac{256}{3} \pi$$ 6. **Approximate the volume:** Using $\pi \approx 3.1416$, $$V \approx \frac{256}{3} \times 3.1416 = 268.08 \text{ cubic feet}$$ **Final answer:** The volume of the sphere is approximately **268.08 cubic feet**.