Concept explainers
To calculate: The volume of the right circular cone.
Answer to Problem 31E
The volume of the circular cone is
Explanation of Solution
Given information:
The right circular cone with height h and base radius r.
The dimensions of the right circular cone as shown in Figure 1.
Refer to Figure 1.
Consider that the right circular cone is obtained by rotating the line
The region lies between
Calculation:
The expression to find the volume of the right circular cone as shown below.
Find the area of the right circular cone as shown below.
Substitute 0 for a, h for b, and
Therefore, the volume of the right circular cone 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