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
