6.2a: Volumes

Objectives:

• Use cross sections to find volumes of revolution (integrating with respect to x).
• Find volumes of other solids using integration.

Read:
pgs. 422 - 425 (through example 2)
pgs. 426-427
pgs. 428 - 429 (examples 7, 8)

Definitions/ Formulas:
Definition of Volume

Flashcards:
Definition of Volume

Examples

Ex1. Volume of a solid of revolution (pg. 424 ex2)

student example

Ex2. Volume of hollow objects (pg. 426 ex4)


Ex3. Volume of shifted hollow objects (pg. 426 ex5)


student example

Ex4. Volumes of other solids

student example


Problem Set: #1-4, 11, 14, 27, 30, 49, 58