rn New Ham... Paraphrasing 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 = 27r2+ 2wrh (it's two circles for the top and bottom plus a rolled up rectangle for the side). r = radius Areas = 1 12 h = height Area = h(2ntr) Circumference 2nr 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 mr2 + 8 mr. 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