A cylindrical pipe has inner diameter of 7 cm and water flows through it at the rate of 192.5 litres per minute. Find the rate of flow in km/hour.
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Q= Area*Velocity........(1)
Q=192.5 liters per minute =>192.5 liter =192.5 /1000 m^3=0.1925 m^3 Q=0.1925 m^3
Diameter = 7 cm = 7/100 m = 0.07 m
0.1925 m^3= [pi*Diameter^2]/4 x Velocity
0.1925 m^3= [3.14*(7/100) ^2] / 4 x Velocity
Velocity=0.1925 /[3.14* 0.0049 / 4]
Velocity=0.1925 /0.0038465 m / minute
Velocity=50.045 meter / minute
So, Velocity=50.045*60 /1000 kilo-meter / hr
Velocity=3.0027 kilo-meter / hr
Q=192.5 liters per minute =>192.5 liter =192.5 /1000 m^3=0.1925 m^3 Q=0.1925 m^3
Diameter = 7 cm = 7/100 m = 0.07 m
0.1925 m^3= [pi*Diameter^2]/4 x Velocity
0.1925 m^3= [3.14*(7/100) ^2] / 4 x Velocity
Velocity=0.1925 /[3.14* 0.0049 / 4]
Velocity=0.1925 /0.0038465 m / minute
Velocity=50.045 meter / minute
So, Velocity=50.045*60 /1000 kilo-meter / hr
Velocity=3.0027 kilo-meter / hr
from s chand
Part 1 ya part 2
part 2
first of all you have to find out radii that equals to 3.5 cm
now convert 192.5litre into cm that equals (1000cm^3=1litre) so there are 192500cm
now in 1minute it collects 192500cm^3 of water so in 1hour it collects 192500*60(1hour=60minutes)
now we have to find out the height ( rate of flow is same as height)
so volume of cylinder =3.14*r^2*h
so, 22/7*3.5*3.5*h=192500*60
h=300000cm =3km
so rate of flow =3km per hour
now convert 192.5litre into cm that equals (1000cm^3=1litre) so there are 192500cm
now in 1minute it collects 192500cm^3 of water so in 1hour it collects 192500*60(1hour=60minutes)
now we have to find out the height ( rate of flow is same as height)
so volume of cylinder =3.14*r^2*h
so, 22/7*3.5*3.5*h=192500*60
h=300000cm =3km
so rate of flow =3km per hour
3 km ans
Answers
Answered by
246
Solution : Given Diameter of Cylinder = 7cm therefore radius of cylinder = diameter/2 = 7/2 = 3.5cm . One Liter = 1000cm^3 , therefore 192.5 litre = 192.5 *1000cm^3 = 192500 cm^3
now in 1minute it collects 192500cm^3 of water so in 1hour it collects 192500*60(1hour=60minutes)
now we have to find out the height ( rate of flow is same as height)
so volume of cylinder =3.14*r^2*h
so, 22/7*3.5*3.5*h=192500*60
h=300000cm =3km
so rate of flow =3km per hour
now in 1minute it collects 192500cm^3 of water so in 1hour it collects 192500*60(1hour=60minutes)
now we have to find out the height ( rate of flow is same as height)
so volume of cylinder =3.14*r^2*h
so, 22/7*3.5*3.5*h=192500*60
h=300000cm =3km
so rate of flow =3km per hour
how is rate of flow same as height?
Answered by
80
Answer:
Step-by-step explanation:
Diameter of cylindrical pipe = 7 cm
∴ Radius of cylindrical pipe
Volume of water flows in 1 min = 192.5 l
∴ Volume of water flows in 1 hour = 192.5 × 60 × 1000 cm3 ......(1)
Let l be the distance covered by water in 1 hour
Volume of water that covers the diameter of 1 hour = πr2l .....(2)
(1) and (2) ⇒ πr2l = 192.5 × 60 × 1000
multiply the equation you will get the answer 3km
i.e. distance covered by water in 1 hr is 3 km
∴ Rate of flow of water = 3 km/hr
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