Water flows in a tank 150m × 100m at the base , through a pipe whose cross section is 2 dm by 1.5 dm at the speed of 15 km/hr. In what time will the water be 3 m deep ?
Answers
Step-by-step explanation:
Given:Water flows in a tank 150m × 100m at the base , through a pipe whose cross section is 2 dm by 1.5 dm at the speed of 15 km/hr.
To find: In what time will the water be 3 m deep ?
Solution:
Tip:Volume of water discharged through the pipe = Volume increase of the tank
Step 1:Find the volume of water discharge from pipe
Let the time taken to fill the tank to 3 m depth be t.
Volume discharge through pipe, V=0.2×0.15×15000×t
(All dimensions converted to meters)
V=450t m³
Step 2:Find volume of tank
Consider the tank now
Depth of the tank = 3 m
Volume of the tank V=150×100×3 m³
V=450×100 m³
Step 3: Equate both volumes
Therefore, 450t=450×100
t=100 hours
Final answer:
In 100 hours water in tank be 3 m deep.
Hope it helps you.
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