Cylinder:
Teacher Notes
MA.7.G.2.1
Conceptual Knowledge
Diameter
Radius
Area
Volume
Ratio
Procedural Knowledge
A = pr^{2}
V = pr^{2}h
Problem Solving
Reasoning
Communication
Connections
Representation
If you compare three different
cylinders, how can you tell which one will have the greatest volume?
Students work in individually
or in pairs
 3 sheets of paper with
rectangles A, B, and C
 rulers
 tape
 scissors
 Cut out the rectangles
shown on the attached pages. Tape them together on the sides indicated
to form cylinders.
 Answer the following questions:
 If the cylinders
had tops, what would be the diameter of each top?
 What would be the
radius of each top?
 What would be the
area of each top? Round to the nearest tenth.
 For the area of the
tops, find A : B and A : C.
 Measure the heights of
the three cylinders. For the heights, find:
 A : B ____________
 A : C ____________
 Predict the ratio of the
volumes of the following cylinders:
 A and B __________
 A and C __________
 Find the volume of each
cylinder. For the volumes, find:
 A : B ___________
 A : C ___________
 Were your predictions
in Question 4 correct?
 Summarize:
 If the height
of two cylinders is the same and the radii are in ratio of __?__,
then their volumes are in the ratio of __?__.
 If the radius of two
cylinders is the same and the heights are in ratio of __?__, then
their volumes are in the ratio of __?__.
As a result of this activity,
students will be able to model how the changes of a figure in such
dimensions as length, width, height, or radius affect other measurements
such as perimeter, area, surface area, or volume.
