Question

Which is the equation for a sphere with the center (8,-6,6) and radius 6?

Answer 1

Answer:

(x - 8)² + (y+6)² + (z-6)²= 36

Step-by-step explanation:

To find the equation for a sphere with the center (8,-6,6) and radius 6, we will follow the steps below;

first write down the standard equation of a sphere:

(x - h)² + (y-k)² + (z-l)²= R²

where h, k and l are the center  and  R is the radius

From the question given, h = 8, k =-6  l=6  and R=6

we can now substitute the values into the formula

(x - h)² + (y-k)² + (z-l)²= R²

(x - 8)² + (y+6)² + (z-6)²= 6²

(x - 8)² + (y+6)² + (z-6)²= 36

Therefore, the equation for a sphere with the center (8,-6,6) and radius 6  is

(x - 8)² + (y+6)² + (z-6)²= 36