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Home » Using the volume, calculate the height of water in the cuboidal tank: - Dachbleche24

Using the volume, calculate the height of water in the cuboidal tank: - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Question: How many whole numbers lie between $3π$ and $5π$?

📌 Solution: Approximate $3π \approx 9.42$ and $5π \approx 15.71$. Whole numbers between them are 10, 11, 12, 13, 14, 15. Counting these gives $\boxed{6}$ numbers.A environmental scientist measures the concentration of PM2.5 in a city. If the concentration decreases by 5% every year due to emission controls, starting from 80 µg/m³, what will be the concentration after 5 years?

📌 The concentration after 5 years is calculated using exponential decay: 80 × (1 - 0.05)^5 = 80 × (0.95)^5 ≈ 80 × 0.7738 ≈ 61.90 µg/m³.

📌 #### 61.90

📌 An archaeologist excavates a site with 12 layers, each 0.5 meters thick. If the team removes 3 meters of soil per day, how many days will it take to expose all layers?

📌 Total depth = 12 × 0.5 = 6 meters. Days required = 6 / 3 = 2 days.

📌 A marine biologist tracks humpback whale migration. If a whale swims 15 km/h for 8 hours daily, how far does it travel in 3 weeks?

📌 Daily distance = 15 × 8 = 120 km. Total distance = 120 × 21 = 2520 km.

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