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The volume is π × r² × h = π × 3² × 120 = π × 9 × 120 = 1080π cubic meters.
Using π ≈ 3.1416, volume ≈ 1080 × 3.1416 ≈ 3392.93 m³.
Mass of rock removed = volume × density = 3392.93 × 2.8 ≈ 9495.04 metric tons.
#### 9495.04
A science journalist is visualizing global CO₂ emissions data. If Country A emits 6.4 gigatons of CO₂ annually and Country B emits 8.9 gigatons, and both grow their emissions by 2.5% per year, after how many full years will Country B emit at least 1.5 times the emissions of Country A?
Let n be the number of years.
We solve: 8.9 × (1.025)^n ≥ 1.5 × 6.4 × (1.025)^n
Divide both sides by (1.025)^n: 8.9 ≥ 9.6 → not possible unless we adjust:
Correct inequality: 8.9(1.025)^n ≥ 1.
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