The radius of the base of a cylindrical tank is
100 cm. The height of the tank, which is completely
filled with water, is 50 cm. How many cans of 5 1
can be fetched from this tank?
(TT = 3.14)
Answers
Answer:
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A cylindrical water tank of diameter 1.4m and height 2.1m is being fed by a pipe of diameter 3.5cm through which water flows at the rate of 2m/s.Calculate in minutes the time it takes to fill the tank.
Medium
Solution
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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
Step-by-step explanation:
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