Question

Water is flowing with the speed of
1.2m/min from a pipe of width
5 m & height 2m. Find the
amount of water dump by it into
a tank in 90 minutes,​

Answer 1

Answer:

ANSWER

The cistern is in cylindrical shape.

Volume of a cylinder =πR

2

h

Radius of cistern =

2

10

m=5m

Hence, volume of the cistern =π×5×5×2m

3

Radius of pipe =

2

20

cm=10cm=

100

10

m=

10

1

m

Since the pipe is cylindrical in shape, Volume =π(Radius)

2

×height

Here, height is considered as the distance traveled =3km=3000m.

Hence, volume of water coming out of pipe in one hour =π×(

10

1

)

2

×3000m

3

Now, time taken to fill the cistern =

Volume of water coming out of pipe in one hour

Volume of the cistern

=

π×

10

1

×

10

1

×3000

π×5×5×2

=

3

5

hours

=1 hour +

3

2

hours =1 hour +

3

2

×60 min =1 hour 40 minutes