Question

water flows at a rate of 10m per minute into a cubic tank 12m long. How long will it take to fill the tank ​

Answer 1

Answer:

51.2 minutes plz plz brainliest

Explanation:

Diameter of the pipe =5mm=  

10

5

​  

cm=  

2

1

​  

cm.

∴ Radius of the pipe =  

2

1

​  

×  

2

1

​  

cm=  

4

1

​  

cm.

In 1 minute, the length of the water column in the cylindrical pipe =10m=1000cm.

∴ Volume of water that flows out of the pipe in 1 minute

=π×  

4

1

​  

×  

4

1

​  

×1000cm  

3

 

Also, volume of the cone =  

3

1

​  

×π×20×20×24cm  

3

.

Hence, the time needed to fill up this conical vessel

=(  

3

20×20×24

​  

×  

1000

4×4

​  

)=  

30

4×24×16

​  

minutes

=  

5

256

​  

minutes=51.2minutes.

Hence, the required time is 51.2 minutes.