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Q.

From a tap of inner radius 0.75 cm  , water flows at the rate of 7 m  per second. Find the volume in liters of water delivered by the pipe in one hour?


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a

4455 litres

b

3525 litres

c

7943 litres

d

4509 litres 

answer is A.

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Detailed Solution

It is given a tap of inner radius 0.75 cm, water flows at the rate of 7 m per second.
We know that,1 m=100 cm  .
Radius of pipe (r)=0.75cm  
r=0.0075m  
Since, rate of water flow = 7 m per second
So, the length of water flow in 1 hour
Length of water flow in 1 hour=7×3600 Length of water flow in 1 hour=25200m       (1hour=3600seconds)
Volume = π r 2 h  
  Volume = 22 7 × 0.0075 2 ×25200  
  Volume = 22 7 × 75 10000 × 75 10000 ×25200  
  Volume = 891 200  
  Volume =4.455 m 3  
 Volume =4.455×1000 l     ( 1 m 3 =1000l  )
 Volume =4455  litres
Therefore, the volume in liters of water delivered by the pipe in one hour is 4455 l  .
Hence option (1) is correct.
 
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