A container in the shape of a right circular cylinder with no top has a surface area of 3π ft2. What height and base radius will maximize the volume of the cylinder, and what is that volume? A.  The maximum volume occurs when the container has base radius 1 foot and height 2 feet. The maximum volume of the container is 2π/3 cubic feet.   B.  The maximum volume occurs when the container has base radius 1 foot and height 1 foot. The maximum volume of the container is π cubic feet.   C.  The maximum volume occurs when the container has base radius 1 foot and height 1 foot. The maximum volume of the container is π/3 cubic feet.   D.  The maximum volume occurs when the container has base radius 1 foot and height 2 feet. The maximum volume of the container is 2π cubic feet.

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