1. **State the problem:** We need to find the volume of a miniature globe with a diameter of 20 cm. 2. **Formula used:** The volume $V$ of a sphere is given by the formula: $$V = \frac{4}{3} \pi r^3$$ where $r$ is the radius of the sphere. 3. **Find the radius:** The radius $r$ is half the diameter, so: $$r = \frac{20}{2} = 10 \text{ cm}$$ 4. **Calculate the volume:** Substitute $r = 10$ cm into the volume formula: $$V = \frac{4}{3} \pi (10)^3 = \frac{4}{3} \pi (1000) = \frac{4000}{3} \pi$$ 5. **Simplify and approximate:** Using $\pi \approx 3.1416$, $$V \approx \frac{4000}{3} \times 3.1416 = 4188.79 \text{ cubic centimeters}$$ **Final answer:** The volume of the miniature globe is approximately $4188.79$ cubic centimeters.