(Solved): Constructing the Fuel Tank "Great, I've got the fuel, but how do I get it to a spacecraft? Computer ...

Constructing the Fuel Tank "Great, I've got the fuel, but how do I get it to a spacecraft? Computer, how do I transport fuel?" Your computer responds that the burning of the fuel destroys the container that it is $$h$$ in, and that a new container is constructed for each launch of the spacecraft. The shape of container is a cylinder with a hemisphere attached to the bottom. Your computer is able generate an image (not to scale) and equations for the volume and surface area of this sha You see a warning notice that supplies of materials for constructing this container are lov order to create the container with limited supplies, you will need to provide the height radius (to 2 decimal places) that minimizes the surface area of the container. What value you provide? Total Volume of Fuel: $$15?$$ Equation for Volume of this Container: $$\mathrm{V}=?{\mathrm{r}}^2\left(\mathrm{h}+\frac{2}{3}\mathrm{r}\right)$$ Equation for the Surface Area of this Container: $$S=2?rh+3?{\mathrm{r}}^2$$