An aluminum can is to be constructed to contain 1400 [math] of liquid.
Let [math] and [math] be the radius of the base and the height of the can respectively.

a) Express [math] in terms of [math]. (If needed you can enter [math] as pi.)

[math]

b) Express the surface area of the can in terms of [math].

Surface area =

c) Approximate the value of [math] that will minimize the amount of required material (i.e. the value of [math] that will minimize the surface area).
What is the corresponding value of [math]?

[math]
[math]