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Home » The smallest positive solution is $ x = 501 $, which is three-digit. - Red Crowns

The smallest positive solution is $ x = 501 $, which is three-digit. - Red Crowns

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 A cylindrical tank with a radius of 3 meters and a height of 10 meters is filled with water. If the water is transferred to a rectangular tank with dimensions 4 meters by 5 meters, what will be the height of the water in the rectangular tank?

📌 The volume of the cylindrical tank is \( \pi \times 3^2 \times 10 = 90\pi \) cubic meters.

📌 The base area of the rectangular tank is \( 4 \times 5 = 20 \) square meters.

📌 The height of the water in the rectangular tank is \( \frac{90\pi}{20} = 4.5\pi \) meters.

📌 Approximating \( \pi \approx 3.14 \), the height is \( 4.5 \times 3.14 \approx 14.13 \) meters.

📌 A train travels 300 km at a speed of 100 km/h, then continues for another 200 km at 80 km/h. What is the average speed of the entire journey?

📌 Time for the first part: \( \frac{300}{100} = 3 \) hours.

📌 Time for the second part: \( \frac{200}{80} = 2.5 \) hours.

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