1. 8.2 Volume of Pyramids and Cones
MA 08Geometry
TOPIC/Objective: To determine the volume of cones and pyramids.
EQ: How does a volume of a cone relate to the volume of a cylinder?

2. 8.2 Volume of Pyramids and Cones
Tempe City Hall
8.2 Volume of Pyramids and Cones

3. 8.2 Volume of Pyramids and Cones
Governor G. Hunt (1859 – 1934)
8.2 Volume of Pyramids and Cones

4. Luxor Hotel, Las Vegas NV
Pyramid Arena, Memphis TN
8.2 Volume of Pyramids and Cones

5. 8.2 Volume of Pyramids and Cones
Volume of a Pyramid
Volume of the Prism
V = Bh
Volume of the Pyramid
8.2 Volume of Pyramids and Cones

6. 8.2 Volume of Pyramids and Cones
Volume of a Cone
Volume of the Cylinder
V = r2h
Volume of the Cone
8.2 Volume of Pyramids and Cones

7. Example 1 Find the volume.8 6
8.2 Volume of Pyramids and Cones

8. Example 4 Find the volume of the right circular cone.5 12
8.2 Volume of Pyramids and Cones

9. 8.2 Volume of Pyramids and Cones
Key Fact
The volume of a pyramid is 1/3 the volume of a prism with the same measurements.
The volume of a cone is 1/3 the volume of a cylinder with the same measurements.
8.2 Volume of Pyramids and Cones

10. 8.2 Volume of Pyramids and Conesh h
8.2 Volume of Pyramids and Cones

11. 8.2 Volume of Pyramids and Cones
Find the volume. 12 14
8.2 Volume of Pyramids and Cones

12. 8.2 Volume of Pyramids and Cones
Which stack has the largest Volume?
Same Volume
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.
8.2 Volume of Pyramids and Cones