The volume of a cylindrical tin can is given by: .
Here is the volume, the radius in centimeters and the height in centimeters.
In what unit should be expressed?
What is the volume of a tin can with a diameter of millimeters and a height of centimeters?
What formula expresses the relationship between and for cans with a height of centimeters?
Draw a graph for the formula you found in c.
For other cans the volume is known: L. What relationship is there between and ? Draw a corresponding graph.
Which of these formulas describes a relation between two variables? Draw a graph for the ones that do.
volume(cube) =
When you use electricity you pay a fixed charge per year and a variable cost per kWh
(kiloWatthour). The total yearly cost depends on the number of kWh's used. It is possible
to convert the total cost to cost per kWh. This gives the formula:
Here is the number of kWh used and the cost per kWh (in euro).
What is the fixed cost per year?
Draw a graph of as a function of . Why should be on the vertical axis?
For what value of is the cost per kWh eurocent?
An electrical resistor is connected to a power source of Volts. An ammeter can be used to measure the electrical current. Ohm's law is valid in this situation: where is the power voltage V (volt), the electrical current in A (ampère) and the resistance in Ω (ohm).
For a power voltage of volts Ohm's law gives the relation between and . What is this formula? And what units belong to this formula?
Draw the corresponding graph.
What current is measured when Ω?