ICSE Board Question Based on Mensuration Chapter of M.L Aggarwal for class10

Water is flowing at the rate of 15 km/h through a pipe of diameter 14 cm into a cuboid pond which is 50 m long and 44 m wide. In what time will the level of water in the pond rise by 21 cm?

This is the Question Number 28, Exercise 17.5 of M.L Aggarwal.

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# Water is flowing at the rate of 15 km/h through a pipe of diameter 14 cm into a cuboid pond which is 50 m long and 44 m wide. In what time will the level of water in the pond rise by 21 cm?

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Given speed of water flow = 15 km/hDiameter of pipe = 14 cmSo radius of pipe, r = 14/2 = 7 cm = 0.07 mDimensions of cuboidal pond = 50 m Ã— 44 mHeight of water in pond = 21 cm = 0.21 mSo volume of water in pond = 50Ã—44 Ã—0.21= 462 m^{3}Volume of water in pipe = r^{2}h= Ã—0.07^{2}Ã—h= 0.0049hVolume of water in pond = Volume of water in pipe462 = 0.0049hh = 462/0.0049= 462Ã—7/0.0049Ã—22= 30000 m= 30 km [1 km = 1000 m]Speed = distance/ timeTime = Distance/speed = 30/15 = 2 hrHence the time taken is 2 hours.