Part a: Assume that the height of your cylinder is6

inches.

ConsiderAas a function ofr, so we can write that asA(r)=2r^2+12r. What is the domain ofA(r)? In other words, for which values ofrisA(r)

defined?

Part b: Continue to assume thatthe height of your cylinder is6

inches. Write the radiusras a function ofA. This isthe inverse function toA(r) i.e to turnA as a function ofrinto.ras a function ofA.

r(A)=

Part c: If the surface area is200 square inches, then what is the radiusr ? In other words, evaluater(200).Round your answer to 2 decimal places.

The radius is____________inches if the surface area is200

square inches.