If I could get the answers and explanation typed out instead of it written on paper, that would be great, since I can't read hand writing most the time to the fullest. Part C is correct with 3.73 inches, I can't seem to figure out what r(A)= is The height of the cylinder is 8 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 theradius of the top of the can and let h be the height. The surface area of the cylinder, A, isA = 2ar2 + 2nrh (it's two circles for the top and bottom plus a rolled up rectangle for the side).r= radiusAreas = 1 rh= heightArea = h(2mr)Circumference2nrPart a: Assume that the height of your cylinder is 8 inches. Consider A as a function of r, so we canwrite that as A (r) = 2 Tr2 + 16 ar. What is the domain of A (r)? In other words, for which values ofr is A (r) defined? Part b: Continue to assume that the height of your cylinder is 8 inches. Write the radius r as a functionof 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.ab sin (a) 0 ar(A) =Hints:• To calculate an inverse function, you need to solve for r. Here you would start withA = 2 nr2 + 16 Tr. This equation is the same as 2 ar2 + 16 ar – A = 0 which is a quadraticequation in the variable r, and you can solve that using the quadratic formula.If you want to type in 3*1 in Mobius, in text mode you can type in (3*pi+1)/(x+1). There isa+1more information in the Introduction to Mobius unit.Part c: If the surface area is 275 square inches, then what is the rardius r? In other words, evaluater (275). Round your answer to 2 decimal places.Hint: To compute a numeric square root such as V17.3. 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 calculatorThe radius is 3.73inches if the surface area is 275 square inches.

Name: If I could get the answers and explanation typed out instead of it wri
Uploaded: 2024-03-05T11:52:21.000Z
Channel: Bartleby
Description: If I could get the answers and explanation typed out instead of it written on paper, that would be great, since I can't read hand writing most the time to the fullest. Part C is correct with 3.73 inches, I can't seem to figure out what r(A)= is The h