The dimensions of a cuboid shaped overhead tank are 24m 10m 6m. If the full tank is being drained with a pipe pouring 100 L per second then how much time will it take to empty the tank
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The dimensions of a cuboid shaped overhead tank are 24m 10m 6m. If the full tank is being drained with a pipe pouring 100 L per second.
The volume of cuboid is given by,
V = length × breadth × height
= 24 × 10 × 6
= 1440 m³
Therefore the volume of cuboid shaped overhead tank is 1440 m³
⇒ 1 m³ = 1000 liters
For 1440 m³ = 1440000 liters
Rate of flow of water from pipe = 100 liter per second
For 1 liter,
1 liter = 1/100 second
1 liter per 0.01 second.
Therefore, for 1440000 liters
1440000 × 1 liter = 1440000 × 0.01 second.
∴ 1440000 liters per 14,400 seconds
14,400 sec / (60 × 60) = 4 hours.
Therfore, 4 hours of time is required to take to empty the tank.