Find an equation of the sphere with center (2, −10, 3) and radius 5. $$25=(x−2)2+(y−(−10))2+(z−3)2 use an equation to describe its intersection with each of the coordinate planes. (if the sphere does not intersect with the plane, enter dne.)

In the plane, we have everywhere. So in the equation of the sphere, we have

which is a circle centered at (2, -10, 0) of radius 4.

In the plane, we have , which gives

But any squared real quantity is positive, so there is no intersection between the sphere and this plane.

In the plane, , so

which is a circle centered at (0, -10, 3) of radius .

answer: 12

step-by-step explanation:

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