The following is a rewrite using appropriate numbers of decimals from a calculator
(extra digits hidden from the display) to justify the next approximation:
\(\displaystyle \left(\sqrt[3]{\dfrac{1}{386}}\right)^2 \)
\(\displaystyle \approx \ \left(\sqrt[3]{.002590674}\right)^2 \)
\(\displaystyle \approx \ (0.137342273)^2 \)
\(\displaystyle \approx \ 0.0188629 \)
\(\displaystyle \approx \) 0.019.