Water flows at the rate of 10 meter per minute through a cylindrical pipe having 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?

Answer

51min 12s

Explanation

Volume that flows in 1 min `= [x xx (0.25)^(2) xx 1000] cm^(3)`
Volume of the conical vessel `= [(1)/(3)pi xx (20)^(2) xx 24] cm^(3)`
Required time `= [((1)/(3)pi xx (20)^(2) xx 24)/(pi xx (0.25)^(2) xx 1000)] min = 51 min 12s`