Concept explainers
a.
Find the volume of the solid.
a.
Answer to Problem 24E
The volume of
Explanation of Solution
Consider the integral,
Calculation:
When a curve is rotate above
When a curve is rotate above
The given integral
Re −arrange the terms as
Therefore this represent the volume of solid obtained after rotation about
Thus, the volume of
b.
Find the volume of the solid.
b.
Answer to Problem 24E
The volume enclosed by the given cylinder is
Explanation of Solution
One possible interpretation of the integral would be the region bounded by
Alternatively replace
Example cylinder shown for
The region bounded by
Thus, the volume enclosed by the given cylinder
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