For finding the cube root of \(0.000729\), we can write it in a simpler form:
\(0.000729 = \frac{729}{1000000} = \frac{729}{(100)^3}\)
We know that the cube root of \(729\) is \(9\) because \(9^3 = 729\)
Thus, the cube root of \(0.000729\) is:
\(\sqrt[3]{0.000729} = \frac{9}{100} = 0.09\)
Therefore, the cube root of \(0.000729\) is \(0.09\).
So, The correct option is (B).