1927　京都帝国大学　工学部

【１】 A steel tank of circular horizontal section, open at the top, has to be constructed so as to contain $150$ cubic meters of water. Find its dimensions so taht the least possible steel plate may be required in its construction.

【２】 Find the first four terms of the expansion of $e^{\sin x}$ by Maclaurin's theorem.

編注　原稿ではマクローリン展開する式が不明瞭

【３】 Find the length of the arc of the catenary

$y={\displaystyle \frac{1}{2}}a(e^{\frac{x}{a}}+e^{-\frac{x}{a}})\text{,}$ from $x=0\text{,}$ to $x=a\text{.}$