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The height of the cylinder is 8 inches. Analyzing the surface area of a round cylinder, how much material is needed to make a can?

The height of the cylinder is 8 inches.

Analyzing the surface area of a round cylinder, how much material is needed to "make a can"?

Let r be the radius of the top of the can & h be the height. The surface area of the cylinder, A, is A=2r^2 + 2rh

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r = radius Areas = It 12 h = height Area = h(2atr) Circumference 2nr Part a: Assume that the height of your cylinder is 8 inches. Consider A as a function of r, so we can write that as A (r) = 2 mr- + 16 mr. What is the domain of A (r)? In other words, for which values of r is A (r) defined? Part b: Continue to assume that the height of your cylinder is 8 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

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