Maximum surface area of a cylinder inscribed in a sphere

[@ЄлизаветаХарькова]

Halfway into the problem I thought I made I mistake somewhere. Turns out I was right and this problem is just very tedious.

[@monkeyboy600]

I don't understand why my teacher would assign such a problem to a beginner calculus class

[@manuel_do_rio]

It is in Silvanus P. Thomson's 'Calculus Made Easy'. In fact, I just encountered it there. It is a hell of a beast, and should come with a warning, not because of the strict 'calculus' part, but because of the length and tediousness of those last operations...

[@stevespring3429]

Beautiful. Thank you!

[@benc6501]

Very helpful video

[@harshitajain2352]

Thank you so much