A tank is filled with 150 liters of water. If 10% evaporates each day, how much water remains after 3 days?
["How Much Water Remains in a Full Tank After 3 Days When 10% Evaporates Daily?", "When a tank filled with 150 liters of water loses 10% of its volume each day due to evaporation, understanding how much water remains after multiple days is crucial for managing water resources in agriculture, home storage, and environmental planning. In this article, we explore a common scenario: starting with 150 liters and losing 10% daily — what remains after 3 days?", "---", "### Understanding Daily Evaporation", "Each day, 10% of the current water volume evaporates. This means the evaporation amount decreases each day as the tank’s volume shrinks. It’s not a flat percentage of the original 150 liters, but rather a shrinking fraction of the remaining water.", "Let’s break it down step-by-step.", "---", "### Day-by-Day Calculation", "- Initial Volume: 150 liters\n- Daily Evaporation Rate: 10%", "After Day 1:\nEvaporate 10% of 150 liters = 0.10 × 150 = 15 liters\nRemaining water = 150 – 15 = 135 liters", "After Day 2:\nEvaporate 10% of 135 liters = 0.10 × 135 = 13.5 liters\nRemaining water = 135 – 13.5 = 121.5 liters", "After Day 3:\nEvaporate 10% of 121.5 liters = 0.10 × 121.5 = 12.15 liters\nRemaining water = 121.5 – 12.15 = 109.35 liters", "---", "### Final Result", "After 3 days of losing 10% of the remaining water daily, the tank contains approximately 109.35 liters.", "---", "### Mathematical Shortcut: Exponential Decay", "You can also calculate final volume using the formula for exponential decay:", "[\nV = V_0 \ imes (1 - r)^t\n]", "Where:\n- (V_0 = 150) liters (initial volume)\n- (r = 0.10) (10% evaporation rate)\n- (t = 3) days", "[\nV = 150 \ imes (0.90)^3 = 150 \ imes 0.729 = 109.35 \ ext{ liters}\n]", "---", "### Why This Matters", "Rate-based evaporation like this is vital to understand for:", "- Efficient water storage and conservation\n- Predicting water loss in tanks used for irrigation, emergency reserves, or domestic use\n- Planning maintenance and refills in ecosystems where water bodies evaporate slowly but continuously", "---", "### Conclusion", "When a tank holds 150 liters of water and loses 10% each day through evaporation, it retains about 109.35 liters after 3 days. This exponential decay pattern highlights the importance of daily monitoring and management to minimize water loss.", "---", "Keywords: water evaporation, daily evaporation calculation, how much water remains after 3 days, tank water loss, exponential decay formula, evaporation rate, water storage management", "---", "Need help optimizing your water storage? Use this formula for precise evaporation forecasting\nFor any larger quantity or longer period, follow the daily 90% retention rule: multiply by 0.90 each day.", "---", "Save this article to revisit anytime you need to calculate water remaining after evaporation."]
