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Construct a CYLINDER and Analyze its Surface Area and Volume

This time around we will be exploring the construction of cylinders. A cylinder is just a prism with circular bases. The sides will be made of a rectangle that is exactly as long as the circumference of the circle.

Here is what you need to do:

1. Draw a net for a cylinder, including dimensions and glue flaps. Be EXTREMELY careful that you measure the diameter of the circle carefully. Your ruler must pass across the center of the circle, so look for the hole that your compass made when you drew the circle. Measure to the smallest increment that your ruler will display, such as 1/16ths of an inch or millimeters. Your rectangle will be as long as the circumference of the circle. Your glue flaps should be little tabs so that they can bend easily around the circle.

2. Cut out your net. Dry fold, (fold it but don't glue the flaps), to be sure that it works.

3. On the front of a piece of notebook paper, explain in words how to find the surface area for your cylinder, and then show the mathematics.

4. On the back of the notebook paper explain how to find the volume for your cylinder and then show the mathematics.

5. DON'T use the same dimensions as our example.

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