Optimization

  1. Look at 3 different shapes of ice cream for example -cone-shaped ice cream
    -rectangular shaped ice cream
    -sandwich ice cream
    explain how you measured the values in the question
  2. consider what shape gives you more ice cream for the money
  • measure the diameter and slant height for the cone and use the values to calculate the height, surface area, and volume
  1. you need to add a simple process
    cone-shaped: since the wafer is hollow, you can assume that the volume of ice cream is approximately equal to the volume of the entire solid
  • calculate the surface area and the entire solid
    -look at how you can minimize the paper needed for wrapping
    simple process for rectangular prism shaped ice cream: similar calculations suggested for cone shaped
  • further process (choose one of those):
    -maximize the volume (more ice cream for the money) requires that you decide on a fixed surface area and a fixed relationship between the dimensions of the solid
    or minimize the surface area (reduce the need for wrapping) requires that you decide on a fixed volume and a fixed relationship between the dimensions.
    -make sure that you comment on the calculations as you go and dicuss the results
    *use a clear diagram, of all shapes studied where you include the measured values and the one you intend to calculate
    -define the variables clearly

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