Huge algebra question, multi part if anyone is kind enough to tackle this?

Question

anonymous · Answer

Just post it, and we'll do our best!

anonymous · Answer

I have to attach it here it is

anonymous · Answer

this will be challenging

anonymous · Answer

if it is too huge someone can email me cgian66@yahoo.com

anonymous · Answer

if you have a calculus book look there, this problem is always worked out in the maximization section

anonymous · Answer

i wish i did

anonymous · Answer

zebb knows this is way over my head

anonymous · Answer

ok we can start it. volume of the can is $V=\pi r^2h$

zepp · Answer

I think for the function part, you can try to use the formula above ^ , set the radius as 1, find the height, then set radius as let's say 25, find the height.
You have now 2 points, which are enough to find the equation for that :|

anonymous · Answer

since we know the volume is 354 we know $\pi r^2h=354$ and therefore 
$$h=\frac{354}{\pi r^2}$$

anonymous · Answer

surface area, you have a top with area $\pi r^2$ a bottom with area $\pi r^2$ and a rectangle with area  $2\pi r h$

anonymous · Answer

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