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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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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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### 1 Answer

1. Given speed of water flow = 15 km/h

Diameter of pipe = 14 cm

So radius of pipe, r = 14/2 = 7 cm = 0.07 m

Dimensions of cuboidal pond = 50 m Ã— 44 m

Height of water in pond = 21 cm = 0.21 m

So volume of water in pond = 50Ã—44 Ã—0.21

= 462 m3

Volume of water in pipe = r2h

= Ã—0.072Ã—h

= 0.0049h

Volume of water in pond = Volume of water in pipe

462 = 0.0049h

h = 462/0.0049

= 462Ã—7/0.0049Ã—22

= 30000 m

= 30 km [1 km = 1000 m]

Speed = distance/ time

Time = Distance/speed = 30/15 = 2 hr

Hence the time taken is 2 hours.

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