1. **Problem statement:** Calculate the circumference, surface area, and volume of Earth modeled as a sphere with radius $r = 6.37 \times 10^6$ meters.
2. **Formulas:**
- Circumference: $C = 2 \pi r$
- Surface area: $A = 4 \pi r^2$
- Volume: $V = \frac{4}{3} \pi r^3$
3. **Unit conversion:** Since the radius is in meters, convert it to kilometers by dividing by 1000:
$$r = \frac{6.37 \times 10^6}{1000} = 6370 \text{ km}$$
4. **Calculate circumference:**
$$C = 2 \pi \times 6370 = 2 \times 3.1416 \times 6370 \approx 40030 \text{ km}$$
5. **Calculate surface area:**
$$A = 4 \pi (6370)^2 = 4 \times 3.1416 \times 40576900 \approx 510064471 \text{ km}^2$$
6. **Calculate volume:**
$$V = \frac{4}{3} \pi (6370)^3 = \frac{4}{3} \times 3.1416 \times 258518213000 \approx 1.08321 \times 10^{12} \text{ km}^3$$
**Final answers:**
- Circumference $\approx 40030$ km
- Surface area $\approx 5.10 \times 10^8$ km$^2$
- Volume $\approx 1.08 \times 10^{12}$ km$^3$
Earth Sphere
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