   Chapter 10.6, Problem 24E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In Exercises 23 to 26, find an equation for each sphere.With center 0 ,   0 ,   0 and containing the point 3 ,   12 ,   - 5 .

To determine

To find:

The equation of the sphere with center 0, 0, 0 and containing the point 3, 12, -5.

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=0, 0, 0

The point on the sphere is 3, 12, -5.

x, y, z=3, 12, -5

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=3-02+12-0</

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