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Constructing the Fuel Tank "Great, We got the fuel, but how do | get it to a spacecraft? Computer, how do | transport this fuel?" Your computer responds that the burning of the fuel destroys the container that it is held in, and that a new container is constructed for each launch of the spacecraft. The shape of the container is a cylinder with a hemisphere attached to the bottom. Your computer is able to generate an image (not to scale) and equations for the volume and surface area of this shape. You see a warning notice that supplies of materials for constructing this container are low. In order to create the container with limited supplies, you will need to provide the height and radius {to 2 decimal places) that minimizes the surface area of the container. What values do you provide? Total Volume of Fuel: 1971' Equation for Volume ofthis Container: V = W2 (h + gr) Equation for the Surface Area ofthis Container: 3 = Zarh + Bar-2 (1"0 0.? o..- '11.3 21.51 ' Radius: 'JJr'ib-E' Height: \\ILI'TIDEI