A pipe of 7cm diameter is connected to a cylindrical tank of oil which is 10.5 cm long. if oil is drawn out at the rate of 210m/min through the pipe , the full tank gets empty in 45 mins . find the diameter of the tank .
Answers
Answered by
0
- Answer: Diameter=7cm Radius=3.5cm Height=4cm Volume=pie*r square *h 22/7*[3.5]square*4 22*12.25*4/7 = 154cm cube
Answered by
0
Answer:
Let the length of the pipe for filling the whole tank be h m.
(i) pipe is in the form of cylinder where height =h m
diameter =14 cm
⇒=
2
14
=7cm=
100
7
m
Volume of pipe = volume of cylinder =πr
2
h
⇒πr
2
h=π(
100
7
)
2
h=
7
22
×
100
7
×
100
7
×h=
100×100
22×7h3
(ii) Tank is in the form of caloid where l=500m
b=44m,h=21cm=
100
21
m=0.21m
Volume of the tank =lbh=50×44×
100
21
=22×21m
2
We have volume of pipe = volume of tank
⇒
100×100
22×7h
=22×21
⇒h=3×10000m=
1000
30,000
km=30km
Water in pipe flows at the rate of 15km/hr
30km travels in pipe in
15
30
hrs=2hrs
So, in 2hrs, the tank will be filed.
Similar questions