A paint can needs to hold a liter of paint (

1000

cm

3

). The shape will be a cylinder of

radius

r

and height

h

. The sides and bottom will be made from aluminum which costs

$0.20

per

cm

2

. The top will be made from plastic which costs

$0.05

per cm

2

. What are the DIMENSIONS

and COST of the cheapest such can? (Keep answers in terms of

.)