A hose of cross-sectional area 0.5m2 is used to discharge water from a water tanker at a velocity of 60ms-1 in 20s into a container. If the container is filled completely, the volume of the container is
240m3
600m 3
2400m 3
6000m3
Explanation
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volume flow rate(discharge (m³/s))=cross sectional area*velocity.
therefore volume=cross sectional area*velocity*time=0.5*60*20=600cm³

Area of the hose: The cross-sectional area of the hose is given as 0.5 m^2. This represents the area through which the water flows.
Velocity of water: The water is discharged from the hose at a velocity of 60 m/s. This represents how fast the water is flowing out of the hose.
Time taken: The water is discharged for a duration of 20 seconds.
Now, to find the volume of water discharged, we use the formula:
Volume = Area × Velocity × Time
Substituting the given values:
Volume = 0.5 m^2 × 60 m/s × 20 s
Now, let's calculate:
Volume = 0.5 × 60 × 20 = 600 m^3
So, the volume of water discharged is 600 cubic meters. This means that if the container is filled completely, its volume would need to be at least 600 cubic meters. Therefore, the correct answer is option A.

