User:Loathesome idiot

$$S_{\rm oblate}=2\pi a^2+\frac{\pi c^2}{e}\ln \left( \frac{1+e}{1-e}\right) \quad \mbox{where} \quad e^2=1-\frac{c^2}{a^2}. $$

$$V_{\rm oblate}=\frac{4\pi}3a^2c$$