I had asked this question the other day and realized after carefully going through everything that the final calculated answer keeps coming up wrong. I know the final answer for part C but the equation I have doesn't match the answer. Please solve all 3 parts and please write or type clearly so it can be read. Thank you

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 = 2mr2 + 2mrh (it's two circles for the top and bottom plus a rolled up rectangle for the side). = radius Areas = 1 12 h = height ...... Area = h(2atr) ...... Circumference 2ntr 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 mr + 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 1' into. 1' as a function of A. r(A)= 551m Hints: 0 To calculate an inverse function, you need to solve for 1'. Here you would start with A = 2 W2 + 8 7m This equation is the same as 2 W?2 + 8 11'1' A = 0 which is a quadratic equation in the variable 7', and you can solve that using the quadratic formula. 3:137:31 in Mobius, in text mode you can type in (3*pi+1)/(x+1). There is more information in the Introduction to Mobius unit. - If you want to type in Part c: If the surface area is 275 square inches, then what is the rardius r? In other words, evaluate r (275) . Round your answer to 2 decimal places. Hint: To compute a numeric square root such as v 17.3 , you could - Use a spreadsheet such as Microsoft Excel or OpenOfce Cale and type in =sqrt(17 .3) 0 Use a browser to connect to the Internet and type in sqrt(17.3) into a search eld 0 Use a calculator The radius is Number inches if the surface area is 275 square inches