Find the center and radius of the sphere.
-$$x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 18 x - 10 y - 6 z = - 15$$
A) C(9, 5, 3), a = 100
B) C(-9, -5, -3), a = 10
C) C(-9, -5, -3), a = 100
D) C(9, 5, 3), a = 10

Question

Quizplus · Accepted Answer

The equation of a sphere is $(x-h)^2 + (y-k)^2 + (z-l)^2 = r^2$. Completing the square for each variable, we find the center $C(9, 5, 3)$ and radius $a = 10$.

Find the Center and Radius of the Sphere x2+y2+z2−18x−10y−6z=−15x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 18 x - 10 y - 6 z = - 15x2+y2+z2−18x−10y−6z=−15

Find the Center and Radius of the Sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 18 x - 10 y - 6 z = - 15$