Concept explainers
a.
Find the volume of the solid by the given
The volume of the solid is
Consider the equation
Calculation:
AS the given integral represents the volume of the solid, we know that it is:
If the cross- section is a disk, we know that
If
Then the region is:
Thus, the volume of the solid is
b.
Find the volume enclosed by the given integral
The volume of the solid is
Consider the equation
Calculation:
AS the given integral represents the volume of the solid, we know that it is:
If the cross- section is a washer, we know that
If
Then the region is:
Thus, the volume of the solid is
Chapter 6 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning