A cylinder (round can) has a circular base and a circular top with vertical sides in between. Letrbe the radius of the top of the can and lethhbe the height.The surface area of the cylinder,AA, isA=2r2+2rh(two circles, onefor the top and one for the bottom plus a rolled up rectangle for the sides).

Part a: Assume that the height of your cylinder is8inches.ConsiderAas a function ofr, so we can write that asA(r)=2r2+16r. 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 is8inches. Write the radiusr as a function ofA. This isthe inverse function toA(r), i.e., to turnAas a function ofrintoras a function ofA.

r(A)=

Part c: If the surface area is275square inches, then what is the radiusr? In other words, evaluater(275).Round your answer to 2 decimal places.

The radius is inches if the surface area is275square inches.