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 )1 be the height. The surface area of the cylinder, A, is A : 27rr2 + 211-741 (two circles, one for the top and one for the bottom plus a rolled up rectangle for the sides). r1: radius *5 :z- h : height ': Circumference 2m 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 TFT2 | 8 we. What is the domain of A (r)? In other words, for which values of r is A (1') dened? 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 ofr into 1' as a function of A. Q: a. E. El X :3 El 9 Hints: - To calculate an inverse function, you need to solve for "r. Here, you would start with A = 2 1772 + 8 arr. This equation is the same as 2 m2 + 8 arr A = 0 which is a quadratic equation in the variable r, and you can solve that using the quadratic formula. You will want to keep A as a variable when you plug the values into the quadratic formula. 3331411 in Mobius, in text mode you can type in (3*pi+l)/(X+l). There is more information in the Introduction to Mobius unit. - If you want to type in