1. Homework Review

2. CCGPS Geometry Day 28 (9-16-13)
UNIT QUESTION: What special properties are found with the parts of a circle?
Standard: MMC9-12.G.C.1-5,G.GMD.1-3
Today’s Question:
How is Cavalieri’s principle used in finding volume?
Standard: MMC9-12.G.GMD1 and 3

3. Cavalieri’s Principle
If two solids have the same height and the same cross-sectional area at every level, then they have the same volume.

4. Cavalieri’s Principle

5. Cavalieri’s Principle
If the height is set equal to “r”, the volume of the green sections stacked on top of each other would be:

6. Cavalieri’s Principle
Based on the principle, these stacks of coins or CDs have the same volume.

7. Practice #1
Find the volume of the cylinder.

8. Practice #2
Find the volume of the prism.

9. Practice #3
Find the volume of the pentagonal prism given the base has an area of 108 cm.2