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Home » Discriminant: \( 35^2 + 4Ã2Ã102 = 1225 + 816 = 2041 \) - AMAZONAWS

Discriminant: \( 35^2 + 4Ã2Ã102 = 1225 + 816 = 2041 \) - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 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 drained at a rate of 2 cubic meters per minute, how long will it take to empty the tank completely?

📌 First, calculate the volume of the cylinder using the formula \( V = \pi r^2 h \):

📌 \[ V = \pi \times 3^2 \times 10 = 90\pi \, \text{cubic meters} \]

📌 Next, divide the volume by the drainage rate to find the time:

📌 \[ \frac{90\pi}{2} = 45\pi \, \text{minutes} \]

📌 Using \( \pi \approx 3.14 \), the time is approximately:

📌 \[ 45 \times 3.14 \approx 141.3 \, \text{minutes} \]

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