1. **State the problem:** Find the volume of a sphere with radius $r=8$ meters. 2. **Formula:** The volume $V$ of a sphere is given by $$V=\frac{4}{3}\pi r^3$$ where $r$ is the radius. 3. **Substitute the radius:** $$V=\frac{4}{3}\pi (8)^3$$ 4. **Calculate the cube:** $$8^3=8 \times 8 \times 8=512$$ 5. **Substitute and simplify:** $$V=\frac{4}{3}\pi \times 512$$ 6. **Multiply numerator:** $$4 \times 512=2048$$ 7. **Write the fraction:** $$V=\frac{2048}{3}\pi$$ 8. **Use \cancel to simplify if possible:** No common factors to cancel between 2048 and 3. 9. **Calculate the numerical value:** $$V=\frac{2048}{3} \times 3.1416 \approx 682.6667 \times 3.1416 \approx 2144.66$$ 10. **Round to nearest hundredth:** $$V \approx 2144.66$$ cubic meters. **Final answer:** The volume of the sphere is about **2144.66** cubic meters.