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 .
Answers
Step-by-step explanation:
Change 4000 liters to m³:
4000 liters = 4000/1000 m³ [∵ 1000 liters = 1 m³]
= 4 m³
Find the Initial volume of water in the tank:
Given that, tank is initially three-quarters filled i.e. (3/4)of the given height
∴ Initial volume of the water = (4 × 2 × 3.6) m³
= 28.8 m³
Total volume of the water after 4 m³ water is added = (28.8 + 4) m³
= 32.8 m³
Find the depth (d):
Total volume of the water = length × width × depth(d)
=> 32.8 = 4 × 2 × d
=> d = 4.1 m
∴ Depth of the water is 4.1 m in the tank after 4000 liters of water are added to it.
Verification:
4 × 2 × 4.1 = 32.8
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