Part a: Assume that the height of your cylinder is 6inches.ConsiderAas a function ofr, so we can write that asA(r)=2r2+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 is 6 inches. Write the radius ras a function of A. This isthe inverse function to A(r), i.e to turn Aas a function of rinto.ras a function ofA.

r(A) = Part c: If the surface area is 150 square inches, then what is the radiusr? In other words, evaluate r(150).Round your answer to 2 decimal places.

The radius is [answer] inches if the surface area is 150 square inches.