$h={\displaystyle \frac{O-2r^2\pi }{2r\pi }}h=\backslash cfrac\{O-2r^2\backslash mathrm\backslash pi\}\{2r\backslash mathrm\backslash pi\}$

$h={\displaystyle \frac{\mathrm{150,72}-2\cdot 9\cdot \mathrm{3,14}}{2\cdot 3\cdot \mathrm{3,14}}}={\displaystyle \frac{\mathrm{150,72}-\mathrm{56,52}}{\mathrm{18,84}}}={\displaystyle \frac{\mathrm{94,2}}{\mathrm{18,84}}}=5h=\backslash dfrac\{150\{,\}72-2\backslash cdot9\backslash cdot3\{,\}14\}\{2\backslash cdot3\backslash cdot3\{,\}14\}=\backslash dfrac\{150\{,\}72-56\{,\}52\}\{18\{,\}84\}=\backslash dfrac\{94\{,\}2\}\{18\{,\}84\}=5$

Die Höhe des Zylinders beträgt $5cm5cm$.