Concept explainers
To calculate:
The standard form of the equation of the sphere for the following points
Answer to Problem 6CLT
The standard forms of the equation of the sphere whose radius
Explanation of Solution
Given information:
Endpoint of the diameter:
Formula Used:
By using the formula:
Calculation:
The midpoint of the line segments the points:
By using the formula:
The sphere center lies on the midpoint of diameter:
By using the formula of distance between two points:
The distance between any endpoint of the diameter and center of the sphere is radius:
Equation of the sphere with center:
By using the formula:
Put the value in formula:
The equation of the sphere whose radius
Chapter 11 Solutions
Precalculus with Limits: A Graphing Approach
- 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