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Math Help - The 10 gallon hat.

  1. #1
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    The 10 gallon hat.

    anyway i was telling my friend a riddle about a dude who just bought a 10 gallon hat but its really 6 gallons and all this determining of its real volume but he interrupted me and claimed that no one can have a 10 gallon hate because no one can have a 10 gallon head. I found one gallon is 3785.4 cubic centimeters, figuring a head is a sphere i did the cubed root and divided by 4/3 to get 25, i then multiplyed by 2 to get a diameter of around 50 centimeters. is this right? check me on everything please
    Last edited by mr fantastic; November 19th 2010 at 08:17 PM. Reason: Title.
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  2. #2
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    ps: i did 3785.4 times 10 before i did cubed root
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  3. #3
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    Quote Originally Posted by Destroyer0203 View Post
    anyway i was telling my friend a riddle about a dude who just bought a 10 gallon hat but its really 6 gallons and all this determining of its real volume but he interrupted me and claimed that no one can have a 10 gallon hate because no one can have a 10 gallon head. I found one gallon is 3785.4 cubic centimeters, figuring a head is a sphere i did the cubed root and divided by 4/3 to get 25, i then multiplyed by 2 to get a diameter of around 50 centimeters. is this right? check me on everything please
    10 \, gal = 37,854 \, cm^3

    \displaystyle \frac{4}{3}\pi r^3 = V

    \displaystyle r^3 = \frac{3V}{4\pi}

    \displaystyle r = \sqrt[3]{\frac{3V}{4\pi}}<br />

    try again ...
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    oh so that means the radius is 20.8 cm?
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  5. #5
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    Quote Originally Posted by Destroyer0203 View Post
    oh so that means the radius is 20.8 cm?
    looks that way, doesn't it?
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    You may find this link interesting:

    Cowboy hat - Wikipedia, the free encyclopedia
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