   Chapter 11.2, Problem 37E

Chapter
Section
Textbook Problem

# Finding the Equation of a Sphere In Exercises 37-42, find the standard equation of the sphere with die given characteristics. Center:     ( 7 , 1 , − 2 ) ;     Radius;1

To determine

To calculate: The standard equation of the sphere with center (0,2,5) and radius 2.

Explanation

Given:

A sphere with center (0,2,5) and radius 2.

Formula used:

If (x,y,z) is an arbitrary point on the sphere, then the standard equation of a sphere of radius r with center (x0,y0,z0) is, (xx0)2+(yy0)2+(zz0)2=r2

Calculation:

Consider the sphere with center (0,2,5) and radius 2.

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