A manufacturer can save
money by making a can that maximizes volume
and minimizes the amount of metal used. For
a can with radius r and height h, this goal is
reached when 2лr³ = ²h.
Part A Solve the equation for h. How is the
height related to the radius for a can that
meets the manufacturer's goal?
Part B The area of a label for a can is A = 2лrh.
Use your result from Part A to write a formula
giving the area of a label for a can that meets
the manufacturer's goals.