The height of the cylinder is 4 inches. We'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 = 2wr2 + 2xrh (two circles, one for the top and one for the bottom plus a rolled up rectangle for the sides). r = radius Areas = 1 12 h = height Area = h(2atr) Circumference Part a: 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 ar2 + 8 ar. What is the domain of A (r)? In other words, for which values of r is A (r) defined? Part b: 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 (r), i.e., to turn A as a function of r into r as a function of A. sin (a) 00 T(A) =