2. Defining Success Grade 8, Unit 6: Lesson 2

3. Prisms to Cylinders This lesson is developed in 3 parts. To be successful in this lesson, you will be expected to communicate your knowledge about the relationships that exist between prisms and cylinders. In addition, you will be expected to determine the volume of a cylinder with given measurements.

4. You will be expected to complete an example similar to the following. Use a sheet of paper that is 2 inches by 3 inches to construct an open cylinder so that the circumference of the cylinder is 2 inches. What is the volume of the cylinder?

5. First Determine the value of the radius. If C = 2 inches and C = 2 π r, then 2 = 2 π r 1 = π r (1 / π) = r The radus is 1 / π inches.

6. Next, use the value for the radius to determine the volume of the cylinder. Recall V = π r 2 h Because r = (1 / π) and h = 3 V = π (1 / π) 2 (3) V = 3 / π cubic inches

7. Prisms to Cylinders Throughout the lesson you will be expected to: - make sense of problems and persevere in solving them, - reason abstractly and quantitatively, - attend to precision in discussions and work, and - look for and make use of structure by looking for patterns.