measuring volume of cylinders through displacement

1. Measuring Volume
Through Displacement
Volume of cylinders (year 9 mathematics)

2. Volume formulas
 Volume of prism = LxWxD
 Volume of cylinder = Area of face x D (πxr^2xD)

3. Task
 Your task is to make a volume measuring device using
the rectangular prism blocks (provided) and the
beaker/glass (provided).
Step 1: Measure the volume of the rectangular prisms
Step 2: Fill beaker/glass half full of water and mark a line
using marker at this point.
Step 3: place one rectangular prism in the beaker/glass
and mark where the water has moved to (this is called
displacement).

4.  Step 4: repeat step 3 until you have used all of the
rectangular prisms provided.
 Step 5: you have now made a displacement calculator
 Step 6: calculate the volume of all the cylinders
provided by measuring the radius, length, width etc
with a ruler.
 Step 7: Use your displacement calculators to investigate
if your calculations in step 6 were correct.
See pictures on next slides for further clarification

5. Equipment required

6. Starting water level

7. 1 rectangular prism in water

8. 3 rectangular prisms in water

9. 5 rectangular prisms in water

10. Cylinder in water (notice
displacement)

11. Large Cylinder in water (notice
displacement)