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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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In Exercises 4 and 5, find the standard equation of the sphere with the given characteristics.

Center; (-1, 7, 4); radius: 6

To determine

To calculate: The standard equation of sphere where the centre of sphere is (1,7,4) and radius 6unit.

Explanation

Given Information:

The centre of sphere is (1,7,4) and radius 6unit.

Formula used:

The standard form of equation of a sphere is given as,

(xa)2+(yb)2+(zc)2=r2

Where (a,b,c) is centre of sphere and r is radius,

Distance formula to find distance between two given points (x,y,z)and(x2,y2,z2),

d=(x1x2)2+(y1y2)2+(z1z2)2

Calculation:

Considering the standard equation of sphere as,

(xa)2+(yb)2+(zc)2=r2

Substitute (a,b,c)("

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