Concept explainers
Find the volume of the solid obtained by rotating the region bounded by the given curves
Answer to Problem 8E
The volume of the solid obtained by rotating the region bounded by the given curves is
Explanation of Solution
Given information: Given curves
Calculation:
The region is shown in the picture:
When we rotate about
To find the cross −sectional area by subtract the area of the inner circle from the area of the outer circle:
The area of this cross-section is:
The solid lies between
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