( 4 3 ⋅ r ) 2 + r 2 {\displaystyle {\sqrt {\left({\frac {4}{3}}\cdot r\right)^{2}+r^{2}}}}
16 9 ⋅ r 2 + r 2 {\displaystyle {\sqrt {{\frac {16}{9}}\cdot r^{2}+r^{2}}}}
25 9 ⋅ r 2 {\displaystyle {\sqrt {{\frac {25}{9}}\cdot r^{2}}}}
5 3 ⋅ r {\displaystyle {\frac {5}{3}}\cdot r}
1 3 ⋅ π ⋅ r 3 ⋅ 4 3 {\displaystyle {\frac {1}{3}}\cdot \pi \cdot r^{3}\cdot {\frac {4}{3}}}
π ⋅ r 2 ⋅ h + 4 9 ⋅ π ⋅ r 3 {\displaystyle \pi \cdot r^{2}\cdot h+{\frac {4}{9}}\cdot \pi \cdot r^{3}}
h = − 4 9 ⋅ π ⋅ r 3 π ⋅ r 2 = − 4 9 ⋅ r {\displaystyle h={\frac {-{\frac {4}{9}}\cdot \pi \cdot r^{3}}{\pi \cdot r^{2}}}=-{\frac {4}{9}}\cdot r}
O ( r ) = 2 , 6 ⋅ π ⋅ r 2 + 9 π r {\displaystyle O(r)=2,6\cdot \pi \cdot r^{2}+{\frac {9\pi }{r}}}
