Volume of Pyramids and Cones

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Presentation transcript:

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.

Vocabulary

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

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

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

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

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.

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

In-Class Examples

Homework 11-6 Worksheet