Water flows at the rate of 10 meters per minute through a cylindrical pipe 5 mm in diameter. How long would it take to fill a conical vessel whose diameter at the surface 40 cm and depth 24 cm?
Given,
Radius of the cylindrical pipe = 
= 2.5mm
= 0.25cm [as we know 10mm = 1cm]
Water flowing per minute through cylindrical pipe = π(0.25)2 × 1000
Radius of the conical vessel = 
Depth of the vessel = 24cm
Volume of the vessel = 
Let the time to fill the conical vessel be x minute,
Water flowing per minute through cylindrical pipe x x = volume of conical vessel
x = 
x = 
x = 51min 12 sec.
Hence the required time to fill a conical vessel is 51min 12 sec
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