I've gotten stuck on my homework with a word problem that asks to find two equations for cost. I'm not really sure where to start, exactly! Word problems are my downfall every single time without fail... The question is:
A cylindrical can is to be constructed to hold $400 \text{ cm}^3$ of liquid. The cost of the material for the circular top and bottom of the can is $3$ cents per square centimetre and the cost of the material used for the curved sides is $2$ cents per square centimetre. Find two equations for the cost, $C$, in terms of i) the radius of the top and bottom, $r$, and ii) the height of the can, $h$.
(Does the area of a circle come into play in finding the answer?)
If someone could walk me through this, that would be great! Thanks in advance!