Correct Answer: 29.63 litres
Explanation:
We are given:
Key Concept: When a fixed quantity is repeatedly removed and replaced, the remaining quantity of original substance after n operations is given by:
Remaining Milk = Initial Milk × (1 - Quantity Removed / Total Volume)n
Here,
Apply the formula:
Remaining Milk = 50 × (1 - 8/50)3 = 50 × (42/50)3 = 50 × (21/25)3
Calculate:
(21/25)3 = 9261 / 15625 ≈ 0.5927 Remaining Milk ≈ 50 × 0.5927 ≈ 29.63 litres
Answer: Approximately 29.63 litres of milk remains in the container.
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