water is flowing at the rate of 15km/hr through a cylindrical pipe of radius of 7cm into a rectangular tank which is 50m long and 44m wide. in how many hours will the water level in the tank raise by 21cm.
Answers
Answer:
Step-by-step explanation:
The answer is attached.
Step-by-step explanation:
Answer:
→ Time = 2 hours .
Step-by-step explanation:
Suppose, the level of water in the pond rises by 21 cm in 'x' hours.
→ Speed of water flowing through a pipe = 15 km/hr .
→ Diameter of the pipe = 14/100 m .
Then, Radius of the pipe (r) = 7/100 m .
∵ Volume of water flowing out of the pipe in 1 hour
= πr²h .
= (22/7) x (7/100) x (7/100) x 15000 .
= 231 m³ .
→ Volume of water flowing out of the pipe in 'x' hours = 231x m³.
∵ Volume of water in the cuboidal pond = lbh .
= 50 x 44 x (21/100) .
= 462 m³ .
∵ Volume of water flowing out of the pipe in 'x' hours = Volume of water in the cuboidal pond raised by 21 cm .
∵ 231x = 462 .
⇒ x =
∴ x = 2 .
Therefore, the required time is 2 hours