A cylindrical water tank carries a volume of 150 ℓ when it is full. The water tank has a base surface with a diameter of 140 cm. What is the height of the water tank? Round your answer to three decimal digits.
Answers
Answered by
4
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
Answered by
1
Step-by-step explanation:
V=πr
2
h=π(
2
d
)
2
h so h = \frac{4 V}{\pi d^2}h=
πd
2
4V
,
150 L = 150 000 cm3 and h = \frac{4 * 150000}{3.1416 *140^2} \approx 9.744 cmh=
3.1416∗140
2
4∗150000
≈9.744cm 9.744
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