To find: The standard form of the equation of the sphere .
Answer to Problem 17CLT
Explanation of Solution
Given information: The endpoints of a diameter of the sphere are
Calculation:
We know that the distance between the points
Therefore, length of diameter of the sphere is
Therefore, radius of the sphere is
Now, center of a sphere is the midpoint of the line segment joining the endpoints of the sphere, therefore, center of the sphere is
The standard form of equation of sphere with center at
Therefore, standard form of equation of sphere with center at
Chapter 12 Solutions
EBK PRECALCULUS W/LIMITS
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