Multiple choice

Water flows at the rate of 10 metres per minute from a cylindrical pipe 5 mm in diameter. How long it take to fill up a conical vessel whose diameter at the base is 30 cm and depth 24 cm?

  1. 1716 sec.

  2. 1728 sec.

  3. 3072 sec.

  4. 3084 sec.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Flow rate = π × (0.25 cm)² × 1000 cm/min = 62.5π cm³/min. Cone volume = (1/3)π(15 cm)²(24 cm) = 1800π cm³. Time = 1800π / 62.5π = 28.8 min = 1728 sec. The pipe radius is 2.5 mm = 0.25 cm, and water flows at 10 m/min = 1000 cm/min.

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