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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 = 2rr2 + 2Trh (it's two circles for the top and bottom plus a rolled up rectangle for the side). r = radius Areas = ar? h = height Area = h(2tr) %3D 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 + 8 Tr. 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.

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