# The 10 gallon hat.

• Nov 19th 2010, 04:40 PM
Destroyer0203
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
• Nov 19th 2010, 04:44 PM
Destroyer0203
ps: i did 3785.4 times 10 before i did cubed root
• Nov 19th 2010, 04:53 PM
skeeter
Quote:

Originally Posted by Destroyer0203
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

$\displaystyle 10 \, gal = 37,854 \, cm^3$

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

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

$\displaystyle \displaystyle r = \sqrt[3]{\frac{3V}{4\pi}}$

try again ...
• Nov 19th 2010, 05:03 PM
Destroyer0203
oh so that means the radius is 20.8 cm?
• Nov 19th 2010, 05:09 PM
skeeter
Quote:

Originally Posted by Destroyer0203
oh so that means the radius is 20.8 cm?

looks that way, doesn't it?
• Nov 21st 2010, 04:19 AM
awkward
You may find this link interesting:

Cowboy hat - Wikipedia, the free encyclopedia