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Update singVarCalcOptimization9.tex #978

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4 changes: 2 additions & 2 deletions optimization/exercises/singVarCalcOptimization9.tex
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Expand Up @@ -10,7 +10,7 @@
\begin{document}
\begin{exercise}

You want to make cylindrical containers to hold 1 liter (1000$\text{cm}^3$) using the
You want to make a cylindrical container to hold 1 liter (1000$\text{cm}^3$) using the
least amount of construction material. The side is made from a
rectangular piece of material, and this can be done with no material
wasted. However, the top and bottom are cut from squares of side
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\end{image}
\end{hint}
\begin{hint}
Use the fact that the volume of the cylinder, $V=r^2\cdot\pi\cdot h$ and that $V=1000$.
Use the facts that the volume of the cylinder is $V=r^2\cdot\pi\cdot h$ and that $V=1000$.
Express $h$ in terms of $r$.
Now you can express $S$ as a function of $r$.
\end{hint}
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