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Assume that the height of your cylinder is 6inches.Consider A as a function of r , so we can write that as A ( r
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?
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.
If the surface area is 225 square inches, then what is the radiusr? In other words, evaluate r(225).Round your answer to 2 decimal places.
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