Question

Water flows through a cylindrical pipe at 1 km/hour. The inner radius of the pipe
is 35 cm. How long will it take to fill a tank 22 m x 10 mx 7 m?​

Answer 1

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Answer 2

Answer:

It will take 4 hours to fill the tank.

Step-by-step explanation:

Given the dimensions of the tank = 22 m x 10 mx 7 m

We know that Volume = Length * Breadth * Height

Therefore, the volume of the tank = 22*10*7 = 1540m³

As the pipe is cylindrical in shape,

We know that the volume of a cylinder = πr²h

where r =  radius of the cylinder

and h = height of the cylinder (here, the rate of flow)

Therefore, the volume of water that comes through the pipe

                                                                = π*(0.35)²* 1000    (as 100cm = 1m)

                                                                = 385m³

Therefore the time taken to fill the tank = $\frac{Volume of tank}{Volume of water}$

                                                                  =$\frac{1540}{385}$

                                                                  = 4 hrs

Therefore, it will take 4 hours to fill the tank.