Maximizing Volume of a Cylinder

In this video, we work through an example of maximizing the volume of a cylinder that has a defined surface area. We use the first derivative and critical points to find the ideal radius to give us the largest volume.

[cartertipton]

12:30 am this just saved my ass on a project. Thanks!

[crushkid]

Thank you so much!! I had a two week project that I was able to finish because of this video <33

[emma_paniova]

Thanks! Now I need to do a Volume vs radius graph

[jtholby]

I don't know if you are still doing this or not but great video and one suggestion. Maybe put screenshots of the notes in the description so we could look at them while watching or look back without rewinding through the video!

[celldoublee]

how would you do this using lagrange multipliers?