Find the standard equation of the sphere with center C and radius r. C (3, -5, 3); r = 7 A)(x - 3)² + (y + 5)² + (z - 3)² = 7 B)(x - 3)² + (y + 5)² + (z - 3)² = 49 C)(x + 3)² + (y - 5)² + (z + 3)² = 7 D)(x + 3)² + (y - 5)² + (z + 3)² = 49

Question

Quizplus · Accepted Answer

The standard equation of a sphere with center (a,b,c) and radius r is:
(x - a)^2 + (y - b)^2 + (z - c)^2 = r^2
Substituting C(3,-5,3) and r=7 we get:
(x - 3)^2 + (y + 5)^2 + (z - 3)^2 = 49
which matches choice B.

Find the Standard Equation of the Sphere with Center C