Multiple choice

Water flows at the rate of 10 meters per minute from cylindrical pipe 5 mm in diameter how long it will take to fill up a conical vessel whose diameter at the base is 30 cm and depth 24 cm ? किसी 5 मिमी व्यास वाले बेलनाकार पाइप से 10 मीटर की चाल से पानी बहता है। 3 सेमी व्यास वाले आधार पर स्थित तथा 24 सेमी. ऊँचे शंकु को पारी से भरने में समय ज्ञात करें ?

  1. 28 minutes 48 seconds

  2. 51 minutes 12 seconds

  3. 51 minutes 24 seconds

  4. 28 minutes 36 seconds
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Pipe diameter = 5 mm = 0.5 cm, radius = 0.25 cm. Flow rate = πr² × velocity = π(0.25)² × 1000 = 62.5π cm³/min (10 m/min = 1000 cm/min). Cone diameter = 30 cm, radius = 15 cm, height = 24 cm. Cone volume = (1/3)πr²h = (1/3)π × 225 × 24 = 1800π cm³. Time = 1800π / 62.5π = 28.8 minutes = 28 minutes 48 seconds. Option A is correct.

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