SOLUTION: We have to build and igloo out of 1 gallon jugs for class. It will have an interior diameter of 6 feet + an entry which is a cylender shape on it's side that is to be 3 feet wide

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Question 109743: We have to build and igloo out of 1 gallon jugs for class. It will have an interior diameter of 6 feet + an entry which is a cylender shape on it's side that is to be 3 feet wide and 3 feet long. How do I calculate the outside area so that once I have the demensions of the milk jugs, I can determine how many jugs I need... It would be a dome with an open ended 1/2 cylender?/?
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the outside area would depend on the size of the milk jugs

the inside area is the surface area of a hemisphere with a radius of 3 feet
... S.A.=(4(pi)r^2)/2

the same idea applies to the entry
... the inside area is the surface of a half cylinder 3 feet long, with a diameter of 3 feet
... S.A.=(D(pi)L)/2

depending on how the entry "matches up" with the dome, there may be an adjustment necessary in the number of jugs
... the jugs from the entry opening in the dome will probably be enough to connect the entry to the dome