Question

water is flowing at the rate of 15 km per hour through a pipe of diameter 14 cm intoa rectangular tank which is 50 m long and 44 m wide find the time in which the level of water in the tank will rise by 21 cm

Answer 1

Given diameter of cylinder = 14 cmTherefore radius of cylinder, r = 7 cmVolume of cylinder = πr2h cubic unitsVolume of water flowing through the cylindrical pipe in 1 hour at the rate of 15km/hr = (22/7) x (7/100) x (7/100) x 15000 = 231 cu m We know that volume of cuboid = lbh cubic units Therefore volume of water in the tank = 54 x 44 x (21/100) = 462 cu m Time taken = (462/231) = 2 hours