1. **Problem statement:** Convert 212 m/s to km/h. 2. **Formula and explanation:** To convert meters per second (m/s) to kilometers per hour (km/h), use the conversion factor: $$1\ \text{m/s} = 3.6\ \text{km/h}$$ This is because 1 km = 1000 m and 1 hour = 3600 seconds, so: $$\frac{1000\ \text{m}}{3600\ \text{s}} = \frac{1}{3.6}\ \text{m/s}$$ 3. **Calculation:** $$212\ \text{m/s} \times 3.6 = 763.2\ \text{km/h}$$ 4. **Answer:** 212 m/s is equal to 763.2 km/h. 5. **Problem statement:** Convert 1600 kg/m³ to g/cm³. 6. **Formula and explanation:** To convert kilograms per cubic meter (kg/m³) to grams per cubic centimeter (g/cm³), use the conversion: $$1\ \text{kg/m}^3 = 0.001\ \text{g/cm}^3$$ This is because: - 1 kg = 1000 g - 1 m = 100 cm, so 1 m³ = (100 cm)³ = 1,000,000 cm³ Therefore: $$1\ \text{kg/m}^3 = \frac{1000\ \text{g}}{1,000,000\ \text{cm}^3} = 0.001\ \text{g/cm}^3$$ 7. **Calculation:** $$1600\ \text{kg/m}^3 \times 0.001 = 1.6\ \text{g/cm}^3$$ 8. **Answer:** 1600 kg/m³ is equal to 1.6 g/cm³. **Note:** The volume of a cylinder formula and the inch to cm conversion are given but not required for these conversions.