A soft drink can in the shape of a right circular cylinder is to have a capacity of 250mm^3. If the diameter of the can must be no less than 4cm and no greater than 8cm. Find the dimensions of the can that will use the least amount of material (include top, bottom, and side). What is the ratio of height to diameter for this can?
Can someone help me set up this question?
V = pi(r^2)(height)=250, I guess for the volume
Least amount of material, I guess would be the surface area of all sides,
So SA = 2(pi(r^2)) + (2(pi)r)height
Dunno....some assistance would be appreciated