Part a: Assume that the height of your cylinder is 6 inches. Consider A as a function of r, so we can write that as A(r)=2πr2+12πr. 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 6 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)=
Part c: If the surface area is 100 square inches, then what is the rardius r? In other words, evaluate r(100). Round your answer to 2 decimal places.