3. A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=7−x2. What are the dimensions of such a rectangle with the greatest possible area? (Width and Height) 4. A cylinder is inscribed in a right circular cone of height 2.5 and radius (at the base) equal to 4. What are the dimensions of such a cylinder which has maximum volume for its Radius and Height? 5. If 1600 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box. (include units)

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A: NOTE: Refresh your page if you can't see any equations. .