Part a: Assume that the height of your cylinder is 8 inches.ConsiderA as a function ofr, so we can write that asA(r)=2r^2+16r. What is the domain ofA(r)? In other words, for which values ofr isA(r)defined?

Part b: Continue to assume thatthe height of your cylinder is 8inches. Write the radius r as a function of A. This isthe inverse function to A(r), i.e to turn A as a function of r into.r as a function ofA. r(A) =

Part c: If the surface area is 100 square inches, then what is the radiusr? In other words, evaluate r(100).Round your answer to 2 decimal places.