A cylindrical rainwater tank is 1.5 m tall with a diameter of 1.4 m. What is the maximum volume of rainwater it can hold??
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Answer:
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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