Q18 of 189 Page 500

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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