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# Water flows at the rate of 10 metre per second through a cylindrical pipe having its diameter as 5 mm. How much time will it take to fill a conical vessel whose diameter of base is 40 cm and depth 24 cm?

Asked by 26th January 2014, 7:11 AM
Radius of the pipe = 5/2 mm = (5/2) x (1/10) = 1/4 cm Speed of water = 10 x 100 cm/sec = 1000cm/sec Volume of water that flows in 1 second = ? r^2 h = 22/7 x 1/4 x 1/4 x 1000 = 1375/7 cm^3 Radius of conical vessel = 40/2 = 20 cm; Depth = 24 cm Therefore, Capacity of the vessel = 1/3 x ? r^2 h = 1/3 x 22/7 x 20 x 20 x 24 = 70400/7 cm^3 Therefore, Time required to fill the vessel = capacity of the vessel / volume of water flowing per second =(70400/7) / (1375/7) = 70400/1375 = 256/5 seconds = 51 .2 sec
Answered by Expert 29th January 2014, 4:38 PM
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