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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

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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. rA = -3+1/2*sqrt(36+2* A/Pi) Hints: . To calculate an inverse function, you need to solve for r. Here, you would start with A = 2 mr2+ 12 mr. This equation is the same as 2 mr + 12 ar - A = 0 which is a quadratic equation in the variable r, and you can solve that using the quadratic formula. You will want to keep A as a variable when you plug the values into the quadratic formula. . If you want to type in 3 7+1 in Mobius, in text mode you can type in (3*pit1)/(x+1). There is more information in the Introduction to Mobius unit. Part c: If the surface area is 225 square inches, then what is the radius r? In other words, evaluate r (225). Round your answer to 2 decimal places. Hint: To compute a numeric square root such as v17.3, you could . Use a spreadsheet such as Microsoft Excel or OpenOffice Calc and type in =sqrt(17.3) . Use a browser to connect to the Internet and type in sqrt(17.3) into a search field . Use a calculator The radius is Number inches if the surface area is 225 square inches

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