Calculus III: Three Dimensional Coordinate Systems (Level 7 of 10)

The video tutorial explains how to derive the equation of a sphere using three examples. The first example involves finding the equation of a sphere given its radius and center. The second example demonstrates how to find the equation when the center and a point on the sphere are provided. The third example shows how to determine the equation using the endpoints of the diameter. Each example involves using the distance formula and substituting values into the sphere equation.

What new insight or understanding did you gain from this video?