Can I please get some help especially with part b. Please explain as best as possible, and try and make it as legible as possible. Thank you

A cylinder (round can) has a circular base and a circular top with vertical sides in between. Let 1' be the radius of the top of the can and let h be the height. The surface area of the cylinder, A, is A : 2W2 + 2wh (it's two circles for the top and bottom plus a rolled up rectangle for the side). r= radius - o u o I Areas = K r1} h = helght '5 ..' . Area =-h(2m') Circumference 2m 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) : 2 W2 -|- 12 arr. What is the domain of A (1')? In other words, for which values of r is A (1\") dened? Part b: Continue to assume that the height of your cylinder is 6 inches. Write the radius 1" as a function of A. This is the inverse function to A (r), i.e to turn A as a function of r into. 9" as a function of A. 11A): an Hints: . To calculate an inverse function, you need to solve for 1'. Here you would start with A : 2 W2 + 12 m\". This equation is the same as 2 m2 + 12 arr 7 A : 0 which is a quadratic equation in the variable 2-", and you can solve that using the quadratic formula. 3;:11 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 300 square inches, then what is the rardius r? In other words, evaluate 1' (300). Round your answer to 2 decimal places. Hint: To compute a numeric square root such as V173, you could - Use a spreadsheet such as Microsoft Excel or OpenOfce Calc and type in =sqrt(17.3) - Use a browser to connect to the Internet and type in sqrt(17.3) into a search eld - Use a calculator The radius is 4.53 inches if the surface area is 300 square inches