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Calculus - Problem 16 - Answer all parts for full credit and show your work. A...

Calculus - Problem 16 - Answer all parts for full credit and show your work.

A right circular cylinder with radius r and height h, both in centimeters, has the property that r + h = 9 centimeters.

A. Determine a formula for the volume V as a function of the radius r. (No other variables can be used.)

B. Determine an appropriate domain for V as a function of r, and explain briefly.

C. Use your function V and domain above to determine the largest possible volume of such a cylinder.

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