Part a: Assume that the height of your cylinder is 6 inches. Consider A as a function of r, so we can write that as A (r) = 2x + 12 r. What is the domain of A (r)? In other words, for which values of ris A (r) defined? Part b: Continue to assume that the height of your cylinder is 6 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. r (A) = Hints: To calculate an inverse function, you need to solve for r. Here, you would start with A = 2r+12 r. This equation is the same as 2 + 12 r - 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. If you want to type in 3+1 x+1 in Mobius, in text mode you can type in (3*pi+1)/(x+1). There is more information in the Introduction to Mobius unit. Part c: If the surface area is 300 square inches, then what is the radius r? In other words, evaluate r (300). Round your answer to 2 decimal places. Hint: To compute a numeric square root such as 17.3, you could Use a spreadsheet such as Microsoft Excel or OpenOffice Calc and type in =sqrt(17.3) Use a browser to connect to the Internet and type in sqrt(17.3) into a search field Use a calculator The radius is Number inches if the surface area is 300 square inches.