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Version 6.1 von Bastian Knöpfle am 2025/11/18 13:53
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1 Würfel:
2 {{formula}}V=a^3=1000 \mathrm{cm}^3 \Rightarrow a=10\mathrm{cm}{{/formula}}
3 {{formula}}O=6 \cdot a^2=600\mathrm{cm}^2{{/formula}}
4 Kugel:
5 {{formula}}V=\frac{4}{3} \cdot \pi r^3 =1000 \Rightarrow r=\sqrt_3{\frac{3V}{4 \pi}} =\sqrt_3{\frac{3 \cdot 1000}{4 \pi}} =6,2 \mathrm{cm} {{/formula}}
6 {{formula}}O=4 \pi \cdot r^2 = 4 \pi 6,2 \mathrm{cm}^2 =483 \mathrm{cm}^2 {{/formula}}
7 Zyliner:
8 {{formula}}V=\pi \cdot r^2 \cdot h \text{mit} h=2r {{/formula}}
9 {{formula}}O=4 \pi \cdot r^2 = 4 \pi 6,2 \mathrm{cm}^2 =483 \mathrm{cm}^2 {{/formula}}