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Home » Let the width be \( x \) meters. Then the length is \( 2x \) meters. - Appfinity Technologies

Let the width be \( x \) meters. Then the length is \( 2x \) meters. - Appfinity Technologies

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 A mining engineer is designing a cylindrical shaft with a diameter of 6 meters and a depth of 120 meters. If the rock density is 2.8 metric tons per cubic meter, how many metric tons of rock must be removed to create the shaft?

📌 The radius of the cylinder is 6/2 = 3 meters.

📌 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?

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