1. The problem statement, all variables and given/known data Is minimiznig the area of tin used to make a can an important factor? Suppose a manufacturer wishes to enclose a fixed volume,V, using a cylindrical can. The height of the cylinder is denoted by h, and the radius of the cylinder can section by r. i)Write a function for the surface area of the can. ii)Determine what happens to the surface area as the radius increases. iii)Determine what happens as the radius tends to zero. iv)Find the values of r which minimizes the surface area. v)Consider an alternative tin shape, with justifications, does your result support the argument that minimizing surface area is a key factor in the design of tin cans? 2. Relevant equations Volume = πr^2h 3. The attempt at a solution i)Surface Area = 2πr2 + 2πrh = 2πr(r+h) ii)The surface area increases and the height decreases as the radius increases. Confused about the rest.