Calculus 1: Max-Min Problems (10 of 30) Largest Cylinder that Fits in a Circular Cone

In this video I will find the largest volume=?, cylinder that fits into a right circular cone where h=20cm and r=12cm.

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[kushalahmed]

Thank you. I got some very important directions on how to think when I face these kinda problems.

[ramghautaam]

why do we need to use slope instead of hypotenuse?

[mathieufortin]

Hello Michel, thanks for all your lectures, very interesting.
For this one, I tried use Thales theorem to express R with respect to H, so I get H=5/3R. When I use this value of H in the cylinder volume's equation, after derivative, I obtain V' = 0 only for R=0.
I understand I found a min instead of a max, but it's quite disturbing to me.
When there is several constraints possible, is there a tip to know which one we have to choose ? Or you just have to try one constraint in order to discover it wasn't the one who works until you find the right one ?
Regards,

[jaybanglos]

i think Vcone = 1/3(pi)(12)^2(20)=3015.93 and is the answer sir

[honeyjelly]

Thank you so much! You are my lifesaver

[shahzadasafirullah]

AoA ur online lectures are very beneficient for me and also i feel improve ur request to u sir please upload in electrical engineering chapter 9 to chapter 16 lectures these chapters are missing please upload u sir.

[abdirahmanibrahimahmed]

prf thanks alot ı want to ask one questıon y=mx+c where -12 from thanks?

[anmolsingh-dnfx]

sir, how can we do it for a cylinder inscribed in a sphere

[ganeshnick]

I would like to become u r student

From india

Impressive session

[lhuss]

Hello Mr. Van Biezen,
You're videos have been a wonderful help and have greatly improved my grades. is there anyway to contact you by email?
thanks

[raradsm]

You're showing too much of your back.

[ramghautaam]

why do we need to use slope instead of hypotenuse?

[ramghautaam]

why do we need to use slope instead of hypotenuse?