Concept explainers
Find the volume of the solid obtained by rotating the region bounded by the given curves.
Answer to Problem 13E
The volume of the solid obtained by rotating the region bounded by the given curves is
Explanation of Solution
Given information: Given curves
Calculation:
Graph the given curves
Start by finding area of a single slice without any width
The radius of the slice is the function
Next find the area of a single slice with a width of
So if we use the information we already know then:
Take this to infinity 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