Help a snhu.mobius.cloud Reading and Parti... (772) Compare Linear. (772) Ex: Exponential.. (772) Compounded Help I Anthony Cunningham (anthony.cunningham@ sen.edu) | Logout Gradetxxk . External dule Two / 2-1 Discussion. Surface Area Remaining Time: Unlimited Module Two Discussion Question: Solve the problem below. For your initial post in Brightspace, copy the description of your cylinder in the box below and then enter your solution to all three parts (parts a, b, and c) of the problem. To copy the description of your cylinder, highlighting and using "copy" from here in Mobius and then using "paste" into Brightspace should work. Hint: This is similar to Question 63 in Section 5.7 of our textbook. We covered this section in 1 4 Reading and Participation Activities: Inverses and Radical Functions" in Module One. You can check some of your answers to parts b and c to make sure that you are on the right track. 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 2mr-+ 2arh (two circles, one for the top and one for the bottom plus a rolled up rectangle for Save Quit & Save Previous Unit Item Next Unit Item atv S A MacBook Air FS - F6 14 F7 DII FB F10 % * a > O - T Y U O Psnhu.mobius.cloud 2-2 Reading and Parti.. (772) Compare Linear. (772) Ex: Exponential.. (772) Compounded Int. 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 = 2AT2+ 2mrh (two circles, one for the top and one for the bottom plus a rolled up rectangle for the sides). r = radius Areas - ir h = height Area =1h( 2an) Circumference 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 ar- | 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 r into r as a function of A. T(A) Save Quit & Save Previous Unit Item Next Unit ItemTA= Hints: . To calculate an inverse function, you need to solve for r. Here, you would start with A - 2 xr-| 8 mr. This equation is the same as 2 ar- + 8 ar -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 7 1 in Mobius, in text mode you can type in (3*pit1)/(x+1). There is more information in the Introduction to Mobius unit. Part c: If the surface area is 175 square inches, then what is the radius r? In other words, evaluate (175), 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 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 Numb inches if the surface area is 175 square inches