Multiple choice

Water flows through a cylindrical pipe, whose radius is 7 cm, at 5 metre per second. The time, it takes to fill an empty water tank, with height 1.54 metres and area of the base (3 × 5) square metres, is

  1. 6 minutes

  2. 5 minutes

  3. 10 minutes

  4. 9 minutes
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

First calculate the pipe's cross-sectional area: π × 7² = 49π cm². The flow rate per second is 49π × 500 = 24500π cm³/s. The tank volume is 3 × 5 × 1.54 = 23.1 m³ = 23,100,000 cm³. Time = 23,100,000 ÷ (24500π) ≈ 300 seconds = 5 minutes. This is a practical application of volume flow rate calculation.

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