A cylinder tank has radius 3.5 m and height 6 m. water flows into it at the rate of 110 liters per minute . find time taken to completely fill the tank.
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Answered by
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Consider the cylindrical tank:
Diameter=1.4m
Radius=r1=21.4=0.7m
Height =h1=2.1=1021m
Consider the cylindrical pipe:
Diameter=3.5cm=1035cm=27cm
Radius=r2=47cm=4007m
Speed =h2=2mper sec
∴ Time taken to fill the tank=VolumeofcylindricalpipeVolumeofcylindricaltank
=πr22h2πr12h1
=π×4007×4007
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Answered by
0
Consider the cylindrical tank:
Diameter=1.4m
Radius=r
1
=
2
1.4
=0.7m
Height =h
1
=2.1=
10
21
m
Consider the cylindrical pipe:
Diameter=3.5cm=
10
35
cm=
2
7
cm
Radius=r
2
=
4
7
cm=
400
7
m
Speed =h
2
=2mper sec
∴ Time taken to fill the tank=
Volumeofcylindricalpipe
Volumeofcylindricaltank
=
πr
2
2
h
2
πr
1
2
h
1
=
π×
400
7
×
400
7
×2
π×
10
7
×
10
7
×
10
21
=
10
7
×
10
7
×
10
21
×
7
400
×
7
400
×
2
1
=1680secs
=
60
1680
minutes
=28minutes
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