PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
8th Edition
ISBN: 9781337904285
Author: Larson
Publisher: CENGAGE L
Question
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Chapter 10.1, Problem 61E
To determine

Tofind:The standard form of the equation of the sphere with center (−3,7,5) and diameter 10 .

Expert Solution & Answer
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Answer to Problem 61E

The standard form of the equation of the sphere with center (−3,7,5) and diameter 10 is (x+3)2+(y−7)2+(z−5)2=(5)2 .

Explanation of Solution

Given information:

The center of the sphere is (−3,7,5) and diameter is 10 .

Calculation:

The general standard form of the equation of sphere is (x−h)2+(y−k)2+(z−j)2=r2 with center (h,k,j) and r radius.

Since, the radius is half of the diameter. Therefore, the radius of sphere is 102=5 .

Substitute −3 , 7 , 5 for h , k , j and 5 for r in the general equation.

  (x−h)2+(y−k)2+(z−j)2=r2(x−(−3))2+(y−7)2+(z−5)2=(5)2(x+3)2+(y−7)2+(z−5)2=(5)2

Therefore, the standard form of the equation of the sphere is (x+3)2+(y−7)2+(z−5)2=(5)2 .

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Chapter 10.1, Problem 60E
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Chapter 10.1, Problem 62E

Chapter 10 Solutions

PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)

Ch. 10.1 - Prob. 1ECh. 10.1 - Prob. 2ECh. 10.1 - Prob. 3ECh. 10.1 - Prob. 4ECh. 10.1 - Prob. 5ECh. 10.1 - Prob. 6ECh. 10.1 - Prob. 7ECh. 10.1 - Prob. 8ECh. 10.1 - Prob. 9ECh. 10.1 - Prob. 10E
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