A closed cylindrical can is to hold 2 litter (200 cm³) of liquid. How should we choose the height and radius to minimize the amount of material needed to manufacture the can?

Answer 1

A litter is a group of kittens, a litre is a fluid measure of 1000 ml

let the height be h cm
let the radius be r cm
πr^2 h = 200
h = 200/(πr^2)

amount of material ---> surface area (SA)

SA = 2πr^2 + 2πrh
= 2πr^2 + 2πr(200/(πr^2))
= 2πr^2 + 400/r

differentiate, set that equal to zero, and solve for r
Plug back into h= ...
and you are done

Answer 2

Radius=1.99735...
Height=3.984...

Answer 3

I am sorry, I put wrong answer