Mensurationhard · Past Paper
A cylindrical pipe has inner diameter 4 cm and water flows through it at 20 m/min. How long would it take to fill a conical vessel of radius 40 cm and depth 72 cm?
A4.8 min
B9.6 min
C3.2 min
D1.5 min
✓ Correct Answer: A — 4.8 min
Vol_cone = 1/3 π (40²) 72 = 38400π. Vol_flow/min = π(2²)2000 = 8000π. Time = 38400 / 8000 = 4.8 min.
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