Find an equation of the sphere with center (4, ?11, 3) and radius 5. Need Help?R

Question

Find an equation of the sphere with center

(4, ?11, 3)

and radius 5.

Need Help?RadWatch Talk to a Tutor 14. 214 points | Previous Answers SCalcET8 12.1.014 Find an equation of the sphere with center (4, -11, 3) and radius 5. r - 4)- + (y 11 Use an equation to describe its intersection with each of the coordinate planes. (If the sphere does not intersect with t intersection with xy-plane intersection with xz-plane DNE intersection with yz-plane Need Help?Read It Talk to a Tutor Submit Answer Save ProgressPractice Another Version

Explanation / Answer

Equation of sphere is

(x-4)2+(y+11)2+(z-3)2=25

Intersecting with xy plane means z=0

(x-4)2+(y+11)2+(0-3)2=25

(x-4)2+(y+11)2+9=25

(x-4)2+(y+11)2= 16

Intersecting with yz plane means x=0

(0-4)2+(y+11)2+(z-3)2=25

(y+11)2+(z-3)2=9

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