Problems Plus 6: Largest Sphere in a Sphere

Timestamps:

- Problem 6: Largest sphere in a sphere: 0:00
- Solution: Complete the squares first: 0:40
- Plug all the squares back into the equation: 6:00
- Obtain an equation of a sphere: 8:08
- The distance from our point Q to the center of the big sphere P: 10:28
- Visually showing the sphere within a sphere: 13:13
- Desired radius of our smaller sphere: 17:25
- Obtaining the center of smaller sphere using unit vectors: 18:51
- Equation of our smaller sphere: 25:15
- Graphing with GeoGebra: 26:28

Video notes and playlists:

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