ρ = m 4 3 ⋅ π ⋅ r 3 m ( 2 G m c 2 ) ⋅ 4 3 ⋅ π = 1000 K g / M 3 m 8 G 3 m 3 c 6 ⋅ 4 π 3 = 1000 K g / M 3 3 m c 6 32 ⋅ π ⋅ m 3 G 3 = 1000 K g / M 3 3 c 6 = 32000 ⋅ π ⋅ m 2 G 3 ⋅ K g / M 3 m = 3 c 6 32000 ⋅ π ⋅ G 3 ⋅ K g / M 3 = c 3 / 100 3.2 / 3 ⋅ π ⋅ G 3 ⋅ K g / M 3 m ≈ 2.7 ⋅ 10 23 M 3 / s e c 3 10 / 3 ⋅ 3 ⋅ 10 − 31 M 9 ⋅ s e c − 6 ⋅ K g − 3 ⋅ K g / M 3 = 2.7 ⋅ 10 27 M 3 / s e c 3 10 ⋅ 10 − 31 M 6 / s e c 6 ⋅ K g − 2 m ≈ 2.7 ⋅ 10 23 10 − 15 K g = 2.7 ⋅ 10 38 K g {\displaystyle {\begin{array}{l}\displaystyle \rho ={\frac {m}{{\frac {4}{3}}\cdot \pi \cdot r^{3}}}\\\displaystyle {\frac {m}{\left({\frac {2Gm}{c^{2}}}\right)\cdot {\frac {4}{3}}\cdot \pi }}=1000Kg/M^{3}\\\displaystyle {\frac {m}{{\frac {8G^{3}m^{3}}{c^{6}}}\cdot {\frac {4\pi }{3}}}}=1000Kg/M^{3}\\\displaystyle {\frac {3mc^{6}}{32\cdot \pi \cdot m^{3}G^{3}}}=1000Kg/M^{3}\\\displaystyle 3c^{6}=32000\cdot \pi \cdot m^{2}G^{3}\cdot Kg/M^{3}\\\displaystyle m={\sqrt {\frac {3c^{6}}{32000\cdot \pi \cdot G^{3}\cdot Kg/M^{3}}}}={\frac {c^{3}/100}{\sqrt {3.2/3\cdot \pi \cdot G^{3}\cdot Kg/M^{3}}}}\\\displaystyle m\approx {\frac {2.7\cdot 10^{23}M^{3}/sec^{3}}{\sqrt {10/3\cdot 3\cdot 10^{-31}M^{9}\cdot sec^{-6}\cdot Kg^{-3}\cdot Kg/M^{3}}}}={\frac {2.7\cdot 10^{27}M^{3}/sec^{3}}{\sqrt {10\cdot 10^{-31}M^{6}/sec^{6}\cdot Kg^{-2}}}}\\\displaystyle m\approx {\frac {2.7\cdot 10^{23}}{10^{-15}}}Kg=2.7\cdot 10^{38}Kg\end{array}}}
ρ = m 4 3 ∙ π ∙ r 3 m 2 G m c 2 3 ∙ 4 3 ∙ π = 1000 K g / M 3 m 8 G 3 m 3 c 6 ∙ 4 π 3 = 1000 K g / M 3 3 m c 6 32 ∙ π ∙ m 3 G 3 = 1000 K g / M 3 3 c 6 = 32000 ∙ π ∙ m 2 G 3 ∙ K g / M 3 m = 3 c 6 32000 ∙ π ∙ G 3 ∙ K g / M 3 = c 3 / 100 3.2 / 3 ∙ π ∙ G 3 ∙ K g / M 3 m ≈ 2.7 ∙ 10 23 M 3 / s e c 3 10 / 3 ∙ 3 ∙ 10 − 31 M 9 ∙ s e c − 6 ∙ K g − 3 ∙ K g / M 3 = 2.7 ∙ 10 27 M 3 / s e c 3 10 ∙ 10 − 31 M 6 / s e c 6 ∙ K g − 2 m ≈ 2.7 ∙ 10 23 10 − 15 K g = 2.7 ∙ 10 38 K g {\displaystyle {\begin{aligned}&\rho ={\frac {m}{{\frac {4}{3}}\bullet \pi \bullet r^{3}}}\\&{\frac {m}{{\frac {2Gm}{c^{2}}}^{3}\bullet {\frac {4}{3}}\bullet \pi }}=1000Kg/M^{3}\\&{\frac {m}{{\frac {8G^{3}m^{3}}{c^{6}}}\bullet {\frac {4\pi }{3}}}}=1000Kg/M^{3}\\&{\frac {3mc^{6}}{32\bullet \pi \bullet m^{3}G^{3}}}=1000Kg/M^{3}\\&3c^{6}=32000\bullet \pi \bullet m^{2}G^{3}\bullet Kg/M^{3}\\&m={\sqrt {\frac {3c^{6}}{32000\bullet \pi \bullet G^{3}\bullet Kg/M^{3}}}}={\frac {c^{3}/100}{\sqrt {3.2/3\bullet \pi \bullet G^{3}\bullet Kg/M^{3}}}}\\&m\approx {\frac {2.7\bullet 10^{23}M^{3}/sec^{3}}{\sqrt {10/3\bullet 3\bullet 10^{-31}M^{9}\bullet sec^{-6}\bullet Kg^{-3}\bullet Kg/M^{3}}}}={\frac {2.7\bullet 10^{27}M^{3}/sec^{3}}{\sqrt {10\bullet 10^{-31}M^{6}/sec^{6}\bullet Kg^{-2}}}}\\&m\approx {\frac {2.7\bullet 10^{23}}{10^{-15}}}Kg=2.7\bullet 10^{38}Kg\end{aligned}}\,\!}
