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Calculus IV
15.Functions of Several Variables
16.Multiple Integration
17.Vector Analysis
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Course: Calculus II
Topic: Geometry
Subtopic: Volume by Shell Method

Overview

When finding the volume of a solid of revolution, some solids lend themselves nicely to the slicing methods covered in the previous lesson. Others are better suited for a second method for finding volume called the shell method. This method finds the volume of nested cylindrical shells then uses integration to sum them for the total area of the solid.

Objectives

By the end of this topic you should know and be prepared to be tested on:

Terminology

Define: cylindrical shell, nested cylinders, shell method

Supplemental Resources (optional)

Video: Volume Calculations III (Cylindrical Shells), Selwyn Hollis's Video Calculus