1. **State the problem:** We are given a sphere with a radius of 10 meters and asked to find its volume in cubic meters. 2. **Formula for the volume of a sphere:** The volume $V$ of a sphere with radius $r$ is given by the formula: $$V = \frac{4}{3} \pi r^3$$ 3. **Substitute the given radius:** Here, $r = 10$ meters, so: $$V = \frac{4}{3} \pi (10)^3$$ 4. **Calculate the cube of the radius:** $$10^3 = 10 \times 10 \times 10 = 1000$$ So, $$V = \frac{4}{3} \pi \times 1000$$ 5. **Simplify the expression:** $$V = \frac{4}{3} \times 1000 \times \pi = \frac{4000}{3} \pi$$ 6. **Final volume:** $$V = \frac{4000}{3} \pi \approx 4188.79$$ cubic meters. **Answer:** The volume of the sphere is approximately 4188.79 cubic meters.