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Thermal expansion (Simple) (attempt posted)

  1. May 20, 2015 #1
    1. The problem statement, all variables and given/known data
    I'm looking for a good explanation, not interested in the answer.

    A geodesic dome constructed with an aluminum framework is a nearly perfect hemisphere; its diameter measures 55.0 on a winter day at a temperature of -18 C.

    How much more interior space does the dome have in the summer when the temperature is 30 C?

    Relevant equations:
    1. For length: Delta L = alpha (L initial) ( Delta T)
    2. For Volume: Dela V = Beta (V initial) ( Delta T)

    Attempt:

    I attempted to calculate the surface area of the hemisphere by dividing the surface area of a sphere by 2.
    = 6361m
    Coming to calculate the area of increase, this is where I got stuck. I was not given any coefficients, and from my knowledge they are obtained experimentally.

    I'm guessing i'm approaching this problem incorrectly.

    Thanking you in advance for a detailed explanation of how to obtain how much the dome increased.

    Bjorn.

    2. Relevant equations


    3. The attempt at a solution
     
  2. jcsd
  3. May 20, 2015 #2

    Doc Al

    User Avatar

    Staff: Mentor

    Why are you calculating surface area? The question asks about interior space.
     
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