Optimization: Find Cylinder With Largest Volume Inscribed in a Sphere

This video shows how to find a right circular cylinder with largest volume that can be inscribed in a sphere of radius r.

[saladassgaming]

Omg your solution is simple than my book's explained solution ! Thank you 😄

[GetupandRise]

Amazing! you made it very lucid and elucidated it brilliantly.

[karizamakanty]

Thank you, you do it very quickly and briliant!

[fortundiamond]

Thanks for this. I saw this problem today in my practice questions. Didn't know what to do because this was me looking for V in terms of r.

[Maya-xsxn]

Excellent explanation. Thank you very much.

[williamlefebvre]

I always overthink this! Thank you Steve!

[Zekaz_Nohea]

Thank you very much for making this, this was extremely helpful.

[CTMUSINGULARITY]

Thank you so much! Very helpful. God bless. 🙌💫

[wynnedalaneydecastro]

what would be the least possible volume?? In exact numbers?

[simbiraimunashelmberi]

thank you very helpful, but I have a question, Why did we differentiate the volume equation and equated the differential to 0

[jotatrujillo]

Why u don't take the derrivate of the radius?

[ericyarmey]

Thanks you saved me before my math test

[JAGhost]

I put this as the answer but somehow its saying that its wrong

[yikes]

Thank you so much! This helped out a lot!

[wenxiwu]

Why do you set the prime equation to 0?

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[BrownOpsLeak]

playback speed =2x, you're welcome