Find the equation of a sphere if one of its diameters has endpoints: (-9, -12, -6) and (11, 8, 14). = 0

Hence, the equation of a sphere with one of its diameters with endpoints (-9, -12, -6) and (11, 8, 14) is .

Step-by-step explanation:

There are two kew parameters for a sphere: Center (, , ) and Radius (). The radius is the midpoint of the line segment between endpoints. That is:

The radius can be found by halving the length of diameter, which can be determined by knowning location of endpoints and using Pythagorean Theorem:

The general formula of a sphere centered at (h, k, s) and with a radius r is:

Hence, the equation of a sphere with one of its diameters with endpoints (-9, -12, -6) and (11, 8, 14) is .

no solution

step-by-step explanation:

there is not enough information in the problem to solve.