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blakjack
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Homework Statement
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 don't know how to arrive at the fact that the volume would be what is shown.
Homework Equations
V = pi r^2 h
The Attempt at a Solution
I set the two equations next to each other and tried to see what canceled 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.