1. Volume of Pyramids and Cones
11-6
Volume of Pyramids and Cones
Objectives:
To find the volume of a pyramid.
To find the volume of a circular cone.

2. Vocabulary

3. Volume of a Right Pyramid
If a right pyramid has a volume of V cubic units, a base with an area of B square units, and a height of h units, then

4. Volume of a Right Circular Cone
If a right circular cone has a volume of V cubic units, a height of h units, and the area of the base is B square units then

5. Example 1
Find the volume of the right pyramid.
V = 540 cm3

6. Example 2
Find the volume of the right cone.
V = 540 cm3

7. Cavalieri’s Principle
If two solids have the same height and the same cross-sectional area at every level, they have the same volume.
As a result, oblique and right pyramids and cones have the same formula for their volume.

8. Example 3
Find the volume of the oblique pyramid.
V = 540 cm3

9. In-Class Examples

10. Homework
11-6 Worksheet