Multiple choice

water flows through a cylindrical pipe whose radius is 7 cm, at 5/sec. The time, it takes to fill an empty water tank with height 1.54 meters and area of the base (3×5) square meters, is- किसी वेलनाकार पाइप जिनकी त्रिज्या 7 सेमी. है, में 5 मी./से. की चाल से पानी गुजरता है। एक (3×5) मी.2 आधार तथा 1.54 मी. ऊँचाई वाले टैंक को भरने में लगा समय ज्ञात करें?

  1. 6 minutes / मिनट

  2. 5 minutes / मिनट

  3. 10 minutes / मिनट

  4. 9 minutes / मिनट
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B Correct answer
Explanation

Pipe: r = 7 cm, flow rate = 5 m/s = 500 cm/s. Cross-section area = π(7)² = 49π cm². Volume flow rate = 49π × 500 = 24500π cm³/s. Tank: base = 3×5 = 15 m² = 150000 cm², height = 1.54 m = 154 cm. Tank volume = 150000 × 154 = 23,100,000 cm³. Time = 23,100,000/(24500π) ≈ 300 seconds = 5 minutes.

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