a silo is to hold 1000 m^3 of corn.what dimensions will minimize surface area? plzz show the full steps
You make the silo a sphere. 1. The most efficient container, in terms of surface-area-per-unit-volume is a sphere. Use a sphere. If you need a silo of a specific shape, you get the parameters for that shape (ie, height and radius for a cylinder), and use the appropriate equations for surface area and volume. Set volume = 1000 cubic meters. Calculate the minimum value of the surface area. Presumably you'd use the first/second derivative method.
I'm not sure what you mean by silo but create to equations one for Volume and one for surface area in two variables (x and y). But you know what the volume equation equals then you can solve for either of the two variables in the volume equation and the substitute that into the surface ares equation. Then take derivate, equate it to zero and solve for the variable. Then you solve for the other variable. Hope this helps!
