2. Water is flowing at 14.4 Km/hr through a pipe of diameter 14 cm into a conical tank
which has base radius 1.4 m. Find the time in which the level of water rises in the
tank by 60 cm.
Answers
Answer:
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Answer:
20 seconds
Step-by-step explanation:
Given that diameter of the pipe = 14 cm
then radius of the pipe be r = 14/2 = 7 cm
Area of the cross-section of the pipe = r2 = (22/ 7) x 7 x 7 = 154 cm2 .
The rate of the flow of the water = 14.4 km/hr = 14.4 x [(1000x100) / 60x60 ]cm / sec = 400 cm / sec
∴ the volume of the water that comes through the pipe in 1 sec = 154 x 400 = 61600 cm2
the radius of the conical tank be R = 1.4 m = 1.4 x100 = 140 cm
Water level of the raised be h = 60 cm.
Volume of the conical tank = (1/3) R2h = (1/3) x (22/7)x 140 x 140x 60 = 400 x 22 x 140 cm2
let it takes t sec to raise the water level by 60 cm.
Therefore 61600 t = 400 x 22 x 140
t = (400 x 22 x 140 ) / 61600
t = 20 sec
Thus, in 20 sec water level to be raise by 60 cm.