Final answer:
The equation that describes a sphere with a center at coordinates (h, k, l) and radius r is ²(x - h)² + (y - k)² + (z - l)² = r.
Step-by-step explanation:
Equation of a Sphere
To describe a sphere with a given center and radius mathematically, we use the sphere's equation. This equation in three-dimensional space (x, y, z) is written as:
(x - h)² + (y - k)² + (z - l)² = r²
where (h, k, l) are the coordinates of the sphere's center and r is the radius of the sphere. Replace the variables with the actual values of the center and radius to obtain the specific equation for your sphere.