1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Kepler - Wine Barrel Volume

  1. Jun 6, 2007 #1
    1. The problem statement, all variables and given/known data

    A wine barrel has a hole in the middle of its side called a bung hole. To determine the volume of the wine in the barrel, a bung rod is inserted in the hole until it hits the lower seam.
    You should make the following assumptions:
    -The barrel is cylindrical
    -The bung hole is centered along the length of the barrel
    -The distance from the bung hole to the corner is d
    -The ratio of the length to the diameter of the barrel is t.
    Answer the following questions:
    You should show that the volume of the cylindrical barrel is V=2(pi)d^3t(4+t^2)^(-3/2)

    I dont know how to arrive at the fact that the volume would be what is shown.


    2. Relevant equations
    V = pi r^2 h

    3. The attempt at a solution
    I set the two equations next to each other and tried to see what cancelled out which was pi.

    So r ^ 2 h = 2(d^3t)(4+t^2)^(-3/2)

    Then I got stuck and help would be greatly appreciated.
     
  2. jcsd
  3. Jun 7, 2007 #2

    NateTG

    User Avatar
    Science Advisor
    Homework Helper

    I think you're missing something, since there's no indication anywhere of what [itex]t[/itex] represents.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Kepler - Wine Barrel Volume
  1. Kepler's law (Replies: 2)

  2. Volume of Rotation (Replies: 13)

Loading...