IF $${\mathtt{r}} = {\sqrt[{{\mathtt{3}}}]{{{\mathtt{h}}}^{{\mathtt{3}}}{\mathtt{\,-\,}}{\mathtt{7}}{\mathtt{\,\times\,}}{{\mathtt{r}}}^{{\mathtt{3}}}}}$$,then the ratio of r:h is?
Cube both sides to get: r³ = h³ - 7r³
Add 7r³ to both sides: 8r³ = h³
Divide both sides by 8h³: r³/h³ = 1/8
Find the cube root of both sides: r/h = 1/2
