Having issues trying to solve this problem. Can someone please explain on how to answer these problems?

The height of the cylinder is 6 inches. 1We'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 2-" be the radius of the top of the can and let it be the height. The surface area of the cylinder. A. is A = 2m"2 + Zach {two circles. one for the top and one for the bottom plus a rolled up rectangle for the sides). h =heig'1t -. Area = hl2rt1'} p Circumference 2.":1' Part a: Assume that the height of your cylinder is {3 inches. Consider A as a function of 2-". so we can write that as A (1') = 2 'JTT2 + 12 me. "What is the domain of A (T)? In other words. for which Tralues of r is A [1'] defined? Part 1): Continue to assume that the height of your cylinder is 6 inches. Write the radius r as a function of A. This is the inverse function to A [7'] i.e.._ to turn A as a function of 1" into 1' as a function of A. T(A]= @l Part :1: If the surface area is 150 square inches, then what is the radius 1"? In other words, evaluate r (150). Round your answer to 2 decimal places. Hint: To compute a numeric square root such as 1X17.3. you could - Use a spreadsheet such as Microsoft Excel or OpenOffice Cale and type in =sqrt{ 17.3] - Use a browser to connect to the Internet and type in sqrtl 17".3} into a search eld - Use a calculator The radius is inches if the surface area is 150 square inches