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The height of mycylinder is 6 inches. Part a : Assume that the...

The height of my cylinder is 6 inches.

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?

you can have a negative radius so that means you can go below 0 and your high end is endless aka infinity.

[0,Infinity)

 

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.


Part c: If the surface area is 275 square inches, then what is the radius r? In other words, evaluate r(275). Round your answer to 2 decimal places.

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