Understanding Water Tank Dynamics Through Mathematical Analysis
Explore the dynamics of a water tank being filled at a rate of one litre per second and analyze how the height of the water surface changes over time. Learn about the useful information available, the mathematical techniques required, and examine graphs depicting the changing water levels. Gain insights into the mathematical principles underlying this scenario.
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Mathematics Unit 36: Water Tank What do we want to find out? What do we want to find out? QUESTION 36.1 A water tank has shape and dimensions as shown in the diagram. At the beginning the tank is empty. Then it is filled with water at the rate of one litre per second. What useful information do we know? What useful information do we know? What other mathematical techniques do we need to apply? What other mathematical techniques do we need to apply? Which of the following graphs shows how the height of the water surface changes over time? What have we learned? What have we learned?
Mathematics Unit 36: Water Tank What do we want to find out? QUESTION 36.1 A water tank has shape and dimensions as shown in the diagram. At the beginning the tank is empty. Then it is filled with water at the rate of one litre per second. What useful information do we know? What useful information do we know? What other mathematical techniques do we need to apply? What other mathematical techniques do we need to apply? Which of the following graphs shows how the height of the water surface changes over time? What have we learned? What have we learned? Back to start Back to start
Mathematics Unit 36: Water Tank What do we want to find out? What do we want to find out? QUESTION 36.1 A water tank has shape and dimensions as shown in the diagram. At the beginning the tank is empty. Then it is filled with water at the rate of one litre per second. What useful information do we know? What other mathematical techniques do we need to apply? What other mathematical techniques do we need to apply? Which of the following graphs shows how the height of the water surface changes over time? What have we learned? What have we learned? Back to start Back to start
Mathematics Unit 36: Water Tank What do we want to find out? What do we want to find out? QUESTION 36.1 A water tank has shape and dimensions as shown in the diagram. At the beginning the tank is empty. Then it is filled with water at the rate of one litre per second. What useful information do we know? What useful information do we know? What other mathematical techniques do we need to apply? Which of the following graphs shows how the height of the water surface changes over time? What have we learned? What have we learned? Back to start Back to start
Mathematics Unit 36: Water Tank What do we want to find out? What do we want to find out? QUESTION 36.1 A water tank has shape and dimensions as shown in the diagram. At the beginning the tank is empty. Then it is filled with water at the rate of one litre per second. What useful information do we know? What useful information do we know? What other mathematical techniques do we need to apply? What other mathematical techniques do we need to apply? Which of the following graphs shows how the height of the water surface changes over time? What have we learned? Back to start Back to start
