An open rectangular tank that is 4m long, 2m wide and 4.8m high, is initially three-quarters filled with water. Find the depth of water in the tank after 4000 liters of water are added to it?
- 4.1 m
- 3.1 m
- 5.1 m
- None of these
Explanation
Initial volume of water = (3/4) × 4 × 2 × 4.8 = 14.4 m³
Initial depth of water = (14.4 m³) / (4 × 2) = 3.6 m
Additional water = 4000 liters = 4 m³
New volume of water = 14.4 m³ + 4 m³ = 18.4 m³
New depth of water = (18.4 m³) / (4 × 2) = 4.6 m then subtract the initial height of the water from the total height of the tank 4.8m - 4.6m = 0.2m + 3.6m = 3.8m then add the additional depth 3.8m + 0.3m = 4.1m
Therefore, the depth of water in the tank is: 4.1 m
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