A cylinder (round can) has a circular base and a circular top with vertical sides in between. Let "I\" be the radius of the top of the can and let h, be the height. The surface area of the cylinder, A, is A : 21TT2 + 21TH; (it's two circles for the top and bottom plus a rolled up rectangle for the side). Areas = n 1.; _f:| h = height Area = h('2m') P Cl rcumference 2m Part a: Assume that the height of your cylinder is 8 inches. Consider A as a function of 7', so we can write that as A (T) : 2 7W2 + 16 7W. What is the domain ofA (1")? In other words, for which values of T is A (7\") dened? Part b: Continue to assume that the height of your cylinder is 8 inches. Write the radius 7' as a function ofA. This is the inverse function to A (T), i.e to turn A as a function of?\" into. 7' as a function ofA