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 the radius of the top of the can and let h be the height. The surface area of the cylinder, A, is A=2πr2+2πrh (it's two circles for the top and bottom plus a rolled up rectangle for the side). Part a: Assume that the height of your cylinder is 8 inches. Consider A as a function of r, so we can write that as A(r)=2πr2+16πr. 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 8 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)=undefined Hints:To calculate an inverse function, you need to solve for r. Here you would start with A=2πr2+16πr. This equation is the same as 2πr2+16πr−A=0 which is a quadratic equation in the variable r, and you can solve that using the quadratic formula.If you want to type in 3π+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 225 square inches, then what is the rardius r? In other words, evaluate r(225). Round your answer to 2 decimal places.Hint: To compute a numeric square root such as 17.3−−−−√, you couldUse 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 fieldUse a calculatorThe radius is inches if the surface area is 225 square inches.I will need a step-by- explanation plus the answers. Let me know if you need anything else.

Week 2 Assignment: Measures of Occurrence and Association NOTE: For this assignment it is important that you show your work. Problems where work is not shown will not receive full credit, even if the answer is correct. Please see the Week 2 Assignment Rubric for more details about the grading criteria for this assignment. Incidence Density A cohort study (hypothetical) was conducted to look at survival after experiencing a myocardial infarction (heart attack). Ten participants were followed for 3 years, resulting in the following table: Follow-up Time (Months) Event 3 Death 5 Censored 8 Death 12 Death 17 Censored 19 Censored 27 Death 32 Censored 36 Followed until end of study period 36 Followed until end of study period What is the cumulative survival probability at the end of the follow-up period?Using the same data, calculate the overall death rate per 100 person-years.Calculate the rates separately for each of the 3 years of follow-up. Given the information above, is it appropriate to report an overall 3-year death rate for this study? Why or why not? Attributable Risk A hypothetical cohort study looked at the association between family history and the risk of developing Alzheimer’s disease. The results were as follows: Alzheimer’s Disease No Alzheimer’s Disease Totals Incidence of AD Family History 50 1,950 2,000 25 per 1,000 No Family History 25 2,975 3,000 8.3 per 1,000 Calculate the attributable risk for Alzheimer’s disease due to family history. Interpret the calculation in words.Assume the prevalence of family history in the general population is 5%. Calculate the population attributable risk and interpret it in words.Now assume the prevalence of family history in the general population is 25%. What effect does this change have on the estimate of the population attributable risk? Discuss the relationship between the population prevalence of exposure and the population attributable risk. Why is it important to understand this relationship as a public health professional?