'Ne'll be analyzing the surface area of a round cylinder in other words the amount of material needed to "make a can\". A cylinder (round can) has a circular base and a circular top with vertical sides in between. Let r' be the radius of the top of the can and let h be the height. The surface area of the cylinder. A. is A = 27rr'2 | 2Wh {it's two circles for the top and bottom plus a rolled up rectangle for the side}. r_= radius F. h = heigm Area= htEttI'} p Circumference 21H Part 3: Assume that the height of your cylinder is 4 inches. Consider A as a function of 'r'. so we can write that as A (r) = 2 TTT'2 + 8 11'3"\". 1What is the domain of A (r)? In other words. for which values of T is A [3") defined? Part I): Continue to assume that the height of your cylinder is 4 inches. Write the radius 'r as a function of A. This is the inverse function to A {1\"}. Le to turn A as a function of'r' into. i" as a function of A