m 3?} "Great, I've got the fuel, but how do | get it to a spacecraft? Computer, how do I 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: 167r Equation for Volume of this Container: V : m2 (h + %7') Equation for the Surface Area of this Container: S : 27r1'h + 31W2 Radius: Number Number Height: QQi o G = v Screenshat2023-06-16... Mixing the Fuel Having nalized the container, you are notied by your computer that you need to mix a stabilizer with the fuel to ensure that it survives the time to the spacecraft, The computer provides a readout of the current stabilization level along with minimum and maximum levels of stabilization. An equation, 3(t), that models the levels of stabilization over time is also provided, You only need to consider these stabilization levels as t gets very large (approaches 00). s\") : ln(1:;:+l) Minimum Level of Stabilization: 1.484375 Maximum Level of Stabilization: 4.625 If the stabilization level will exceed the maximum allowed level, you must add a destabilizer. If the stabilization level will fall below the minimum allowed level, you need to add more stabilizer. Finally, if the stabilization level is between these bounds. no action is required, What do you do? Add Stabilizer Do Nothing Add Destabilizer