A cylindrical can with a top is made to contain 1 liter of solutions. Find the dimensions that will minimize the cost of the metal to manufacture the can.
The volume is given as 1 liter which is equivalent to 1000ml or 1000cc (cubic centimeters)
The formula for the volume of a cylindrical can is `V=pi r^2h` where r is the radius of the top/bottom, and h the height of the can.
Letting V=1000 and solving for h in terms of r we get...
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