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

Asked by Rutuja Mehta | 18th Jan, 2014, 07:39: PM

Expert Answer:

Let the level of water in the pond rises by 21 cm in t hours.

Speed of water = 15 km/hr

Diameter of the pipe = 14/100 m

Radius of the pipe (r) = 7/100 m

Volume of water flowing out of the pipe in 1 hour

= π r 2 h

= (22/7) x (7/100) x (7/100) x 15000

= 231 m3

Volume of water flowing out of the pipe in t hours = 231 t m3.

Volume of water in the cuboidal pond

= 50 x 44 x (21/100)

= 462 m3 

Volume of water flowing out of the pipe in t hours = Volume of water in the cuboidal pond

So, 231 t = 462

t = 2

Thus, the required time is 2 hours.

Answered by  | 19th Jan, 2014, 05:09: PM

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