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Water is flowing at the rate of 15km/hour through a pipe of diameter 14 cm into a cuboidal pond which is 50meter long and 44meter wide un what time will be the level of water in the pond rise by 21cm

Posted by Abishake Saravana Kumar 5 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

Yogita Ingle 5 years, 11 months ago

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.

1Thank You

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