Question

water is flowing at rate of 3 km per hour through a circular pipe of internal diameter is 20cm into a circular cistern of diameter 10m and depth 2m. In how much time will the cistern be filled?

Answer 1

Answer:

Step-by-step explanation:velocity=3 km/hr =3000 m/s

internal diameter of circular pipe =20cm =20/2=10cm=radius

since the radius is in 'cm' we must convert it into 'm' =10/100 =1/10 m

diameter of cistern(cylindrical shaped)=10m/2 =5m=radius of cistern

now,

time=volume of water in the cistern/volume of water flowing in the pipe

=pie*5*5*2/pie*1/10*1/10*3000(since velocity is the length or height of the circular pipe)

=50pie/30pie=5/3(since 'pie' and '0' will get cancelled)

=1.66 seconds=correct value

(OR)

1 hour 40 min=approximate value in kmhr format ..

Hope it helps you

Answer 2

Hii mate your answer is ;

Solution ,

step by step in proper way ;

Given :- water is flowing at =3 km/h

internal diameter of circular pipe = 20 cm.

depth =2m

diameter of cistern( cylindrical shaped)=10m .

Now;

since ; their is in 'cm' and 'km' so we must convert into m.

then ;

Velocity = 3000 m/s

internal diameter =20/100=> 1/5, internal diameter of circular pipe= 1/5*2

=1/10

And , radius = diameter/2

10/2=5 m

Now ,

time = velocity of water of the cistern / volume of water flowing in the pipe .

=>pipe *5*5*2/ pipe*1/10*1/10*3000 (since velocity is the length or height of circular pipe )

=> 50 pipe /30pipe =5/3 pipe

(since ' pipe ' and '0' will get cancelled )

=1.66 second is correct value

or , 1 hour 40 minutes

approximate value in km /hr formed.

I hope it is useful then

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