Concept explainers
Tofind:Thestandard equation of the sphere with the endpoints of the diameter as
Answer to Problem 54E
Thestandard equation of the sphere with the endpoints of the diameter as
Explanation of Solution
Given information:
The endpoints of the diameter are
Calculation:
The endpoints of the diameter lies on the sphere. The midpoint between these two endpoints will be the center of the sphere.
Calculate the midpoint of the sphere.
So, the center of the sphereis
Calculate the radius of the sphere when the center is
The standard equation of a sphere with center
Substitute
Therefore, the standard equation of the sphere with the endpoints of the diameter as
Chapter 11 Solutions
EBK PRECALCULUS W/LIMITS
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