Constructing the Fuel Tank "Great, I've got the fuel. but ho'wr 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 ofthis 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: 1411' Equation forVolume of this Container: V = m2 (h + gr) Equation forthe Surface Area of this Container: S = 21TH: + 3W2 0V 0.? c..- '11.5 21.31 ' U Radius: \\Lst'cei' Height: I'\\|.l"12c"l' Explain, in your own words and with your own work, how you arrived at this result. Be sure to explain using calculus concepts to best support the work of the game design team