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📅 May 10, 2026 👤 scraface

May 10, 2026

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📌 #### 84 ### Question 1

📌 A cylindrical tank with a radius of 5 meters and a height of 10 meters is being filled with water at a rate of 2 cubic meters per minute. How long will it take to fill the tank completely?

📌 Volume of the cylinder**: \( V = \pi r^2 h = \pi \times 5^2 \times 10 = 250\pi \) cubic meters.

📌 Time to fill**: \( \frac{250\pi}{2} \) minutes.

📌 Final Calculation**: \( \frac{250\pi}{2} = 125\pi \approx 392.7 \) minutes.

📌 #### 392.7

📌 A car travels at a constant speed of 60 km/h for 2.5 hours, then increases its speed to 80 km/h for another 1.5 hours. What is the total distance traveled?

📌 Distance at 60 km/h**: \( 60 \times 2.5 = 150 \) km.

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