Module Two Discussion Question: Solve ue problem below. For your initial post in Brightspaee, copy the description of your cylinder in the box l:I-elo'l.ar and then enter your solution to all three parts {parts a, b, and c} ofthe problem. To copy the description of your cylinder, highlighting and using "copy" from here in I'u'lohius and then using r'lclnaste" into Brightspaee should work. Hint: This is similar to Question 63 in Section 5.? of our textbook. We covered ais section in "l 4- Reading and Participation Activities: Inverses and Radical Functions" in Module I:il'ne. You can check some ofyouranswers to parts b and c to make surethat youare onthe righttraclr. The height of the cylinder is I5 inches. 1We'll be analyzing 1he surface area ofa round cylinder - in other words the amount of material needed to r'msllre a can". A cylinder [round can) has a circular base and a circular top 1with vertical sides in between. Let r be the radius of the top of the can and let it be the height. The surface area of the cylinderI A, is A = Elm-2 + an-h [its two circles for ne top and bottom plus a rolled up rectangle for the side}. '5 - raolus Part a: Assume that the height of your cylinder is 5 inches. Consider A as a function of r, so we can write that as A [r] = 2 111-2 + 12 arr. What is the domain of 21(1']? In other words, for which values of r is A {r} dened?II Part 11: Continue to assume that the height ofyour cylinder is El inches. 1Write the radius r as a function of. This is the inverse function to A {r} i.e to turn A as a function off into. 1- as a rnction of A. Til= HID Hints: I To calculate an inverse function, you need to solve for 1". Here you would start with A=21vr2 + 121w. This equation is the same as 2m2+121rrA=which is a quadratic equation in the variable 1', and you can solve that using the quadratic formula. 311:1 in Mobius, in text mode you can type in {3*pi+l].'[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 20'] square inchesI then what is the rardius r'? In other wordsq evaluate r (2130). Round your answer to 2 decimal places. Hint: To compute a numeric square root such as #113, you could I Use a spreadsheet such as I'u'Iicrosoft Excel or Dpen'Dice Gale and type in =sqrt(l?.3} I Use a browser to connect to the Internet and type in sqrt{lT.3] into a search field I Use a calculator The radius is Ner'ber inches ifthe surface area is 211] square inches