Help on two math question

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bdao0112

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Jul 16, 2013
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  1. Many of the amenities at a local ski hill are operated using gas generators. To transport gasoline to the top of the mountain, a special trailer has been designed. The trailer bed is in the shape of a square with a side length of 1.5 m. They wish to attach a cylindrical shaped gas tank to the trailer which is as large as possible, but cannot be taller than the trailer bed is. Determine the dimensions, volume and surface area of the gas tank.
  2. When shipping ice cream, melting is understandably a big concern. You will notice that ice cream is not generally packaged in a cube-shaped container. A standard container of ice cream contains 1 L, or 1000 cm3 of ice cream,
    1. What would be the optimal dimensions (radius and height) to minimize surface area?
    2. What would the surface area be?
    3. Suggest at least two reasons why this is different from the ice cream packaging that you see in the stores.
I have no clue how to do this.
 
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