Water is flowing at the rate of 15 km/h   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 pond rise by 21 cm?

# Water is flowing at the rate of   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 pond rise by 21 cm?

1. A
2 hours
2. B
3 hours
3. C
1 hours
4. D
4 hours

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### Solution:

Given that rate of flowing of water is 15 km/h through a pipe of diameter 14 cm into a cuboidal pond which is 50 m long and 44 m wide.
Let the time per hour rise of water in the pond be t hour.
Radius of pipe =   = 7cm.
We know that,
1 cm = $\frac{1}{100}m$
So, radius of pipe =  .
Rate of flow = 15 km/h
We know that, 1 km = 1000 m
Rate of flow = 15(1000) m/h = 15000 m/h
Volume of water flowing through the cylindrical pipe in one hour =  .

Volume of cuboidal pond = length × width × depth
Here,
Length = 50 m
Width = 44 m
Depth = 21 cm
We know that,
1 cm = $\frac{1}{100}m$
So, depth =
⇒ Volume of pond = 50 × 44 × 0.21
⇒ Volume of pond = 462 m³
Now,
Time taken by the pipe to fill the pond with water to a height of 21 cm is,

Therefore, water in the pond will rise by 21 cm in 2 hours.
Therefore, the correct answer is option (1).

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