I have a rectangle that has the perimeter of 38cm. I need to make this rectangle into a baseless cylinder and find the greatest volume of it, by deriving.
so far I came with this: for the rectangle the length is 19 - width
then subbed it into finding the radius of the cylinder:
and finally subbed everything into the volume equation:
$V=\pi r^2 h$
$v= \pi (19-(w/2\pi)) (19 -w)$
but now I'm having trouble to derive it and find the greatest volume.