Concept explainers
Find the volume of the solid obtained by rotating the region bounded by the given curves.
Answer to Problem 2E
The volume of the solid obtained by rotating the region bounded by the given curves is
Explanation of Solution
Given information: Given curves
Calculation:
Draw the graph of
Area of typical disk:
Volume
Here
Integrate each term using power rule,
Use fundamental theorem,
Thus, volume of the solid obtained by rotating the region bounded by the given curves 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