   Chapter 10.6, Problem 25E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# In Exercises 23 to 26, find an equation for each sphere.With center 1 ,   2 ,   3 and containing the point 5 ,   5 ,   3 .

To determine

To find:

The equation of the sphere with center 1, 2, 3 and containing the point 5, 5, 3.

Explanation

The equation of the sphere with center h, k, l and radius length r is given by

x-h2+y-k2+z-l2=r2

h, k, l=1, 2, 3

The point on the sphere is 5, 5, 3.

x, y, z=5, 5, 3

Substitute the coordinates of center and coordinates of the point to find the radius.

From the general equation of the sphere,

r=x-h2+y-k2+z-l2

r=5-12+5-22+3-32

Simplifying,

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