The volume of liquid V in a hollow horizontal cylinder of radiusr and length L is

Chapter 6, Problem 6.16

(choose chapter or problem)

The volume of liquid V in a hollow horizontal cylinder of radius r and length L is related to the depth of the liquid h by

\(V=\left[r^{2} \cos ^{-1}\left(\frac{r-h}{r}\right)-(r-h) \sqrt{2 r h-h^{2}}\right] L\)

Determine h given \(r=2 \mathrm{~m}, L=5 \mathrm{~m}^{3}\), and \(V=8 \mathrm{~m}^{3}\).

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