Filling Containers and Their Graphs

Oustyn has a vase. He fills the vase with water at a constant rate. Which graph best represents the depth of water in the vase as it is being filled, with depth on the y-axis and time on the x-axis?

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The graph representing the depth of water in the container as it is being filled shows:

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Which container does the graph above represent?

• B

• A

• C

Sketch a graph to represent the depth of water in container D as it is filled.

• A curve that increases steeply, representing increasing depth at an increasing rate.

• A straight horizontal line, representing constant depth.

• A curve that decreases, representing decreasing depth over time.

• A straight line with a gentle slope, representing slow increase in depth.

A builder installs a new oil tank. The oil tank is filled with oil that is poured at a steady rate. Draw a graph to represent the depth of oil in the tank as it is being filled.

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Shown below are four vases. Each vase is filled with water that is poured in at a constant rate. Below four graphs show the depth of water in each vase as it is being filled. Match each vase to the correct graph.

• Vase B

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• Vase D

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• Vase A

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• Vase C

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Pei Han has an empty cylindrical tank with a diameter of 80cm. Calculate the volume of water in the tank. Give your answer in litres.
1 litre = 1000 cubic centimetre

• 904.78 litres

• 90.48 litres

• 9047.79 litres

• 180.00 litres

Which graph would best represent the depth of water in a cone-shaped container as it is filled at a constant rate?

• A curve that starts gently and becomes steeper as time progresses.

• A curve that starts steep and becomes less steep over time.

• A straight line with a positive slope.

• A horizontal line.

A container is being filled with water at a constant rate. Which graph best represents the change in depth of water over time?

• A straight line with a positive slope

• A curve that decreases over time

• A straight line with a negative slope

• A horizontal line

Which of the following graphs would best represent the height of water in a cone on its point container as it is filled at a constant rate?

• A straight line with a positive slope

• A horizontal line

• A curve that starts gently and becomes steeper over time

• A curve that starts steep and becomes less steep as time progresses