Premium Only Content

Problems Plus 6: Largest Sphere in a Sphere
In this video I find the largest sphere that passes through a given point while every point inside is also inside a larger sphere. Although the problem states every point inside the sphere satisfies an inequality, simply completing the squares multiple times reveals that the inequality is just in the form of a large sphere. Using the radius of the larger sphere, its center, and a unit vector from our point to the center of the big sphere, we can obtain the formula for our inside sphere. I also graph our spheres with the amazing GeoGebra 3D graphing calculator: https://www.geogebra.org/3d/dtdpukqs
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:
- HIVE notes: https://peakd.com/hive-128780/@mes/jlgigkdl
- Full video and playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0G_7Jd6ZORHFQMk8jbwmkos
- Vectors and the Geometry of Space playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ .
------------------------------------------------------
Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
MES Links: https://mes.fm/links
MES Truth: https://mes.fm/truth
Official Website: https://MES.fm
Hive: https://peakd.com/@mes
Email me: contact@mes.fm
Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fm
Mortgage Calculator: https://mortgagecalculator.mes.fm
Percentage Calculator: https://percentagecalculator.mes.fm
Free Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps
-
3:03:12
Math Easy Solutions
15 days ago $0.01 earnedMES Livestream 90: Discussing 9/11 and Translating Truth to French with Jeanne Traduction
385 -
2:07:09
BlackDiamondGunsandGear
13 hours ago🔴 LIVE SHOW w/ DLD & Okayest Shooter
29.1K2 -
4:32
TruthStream with Joe and Scott
5 days agoTo Unite Music Video 2025 in 432 HZ written by Joe Rosati & Steve Collins. featuring Stephen Tenner, Kristen Capolino and KC Sunshine. Produced by Lewis Herms
55K13 -
3:09:13
Joker Effect
16 hours agoFIRST EVER AMATEUR BOXING EVENT STREAMED ON RUMBLE! BOUGHT TO YOU BY WOLFSDEN BOXING!
81.2K11 -
3:33:13
Barry Cunningham
12 hours agoTHE DOGEFATHER & THE DON! HOW ELON MUSK & PRESIDENT TRUMP ARE SAVING AMERICA!
138K112 -
6:55:08
Phyxicx
11 hours agoGetting ready for $350 tournament! - 5/31/2025
30.3K -
5:28:16
Tommy's Podcast
9 hours agoE742: Atomic Piledriver
40.8K2 -
3:54:51
Mally_Mouse
19 hours agoSpicy Saturday!! - Let's Play: Group Games w/Friends!
87.9K3 -
8:11
Warren Smith - Secret Scholar Society
9 months ago $8.69 earnedThe Professor who Does Not Fear YouTube
50.8K14 -
3:27:21
megimu32
8 hours agoSATURDAY NIGHT HANGING + GAMING!! ..who am I?
15K4