3. What are the radius r and height h of a right circular cylinder of maximum volume that can be inscribed in a sphere o

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3 What Are The Radius R And Height H Of A Right Circular Cylinder Of Maximum Volume That Can Be Inscribed In A Sphere O 1 (22.59 KiB) Viewed 25 times

3. What are the radius r and height h of a right circular cylinder of maximum volume that can be inscribed in a sphere of volume 125 inches*? Confirm that the extrema you find is a minimum and not a maximum. Follow the 5 steps given in Section 4.6. 1. Read the problem 2. Draw a picture and label parts that may be important to the problem. 3. Introduce variables (or "unknowns"). Find relationships between the unknowns. 4. Write an equation for the unknown quantity, using the relations from (3) to express the unknown quantity as a function of one variable. 5. Maximize/Minimize the function; test the critical points and endpoints of the domain (if present) of the unknown.