Q33 of 14 Page 1

Water is flowing at the rate of 15 km/hour through a pipe of diameter 14 cm into a cuboidal 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?

Let, the level of water rise by 21 cm is in t hours.

Diameter of a pipe = 14 cm = m


Radius of the pipe = m


Volume of water flowing in pipe in 1 hour = πr2h



= 231 m3


Volume of water flowing in pipe in t hour = 231t m3


Volume of water in pond = l × b × h



= 462 m3


Volume of water flowing in pipe in t hour = Volume of water


in pond


231 t = 462


t = 2 hours


So, in 2 hours the level of water in pond rise by 21 cm.


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