The cube root of 0.000027 is :

1. 0.03

2. 0.003

3. 0.3

4. 0.00003

$\sqrt[3]{0.000027}\\[1em] = \sqrt[3]{\dfrac{27}{1000000}}\\[1em] = {\dfrac{\sqrt[3]{27}}{\sqrt[3]{1000000}}}\\[1em] = {\dfrac{\sqrt[3]{3 \times 3 \times 3}}{\sqrt[3]{100 \times 100 \times 100}}}\\[1em] = {\dfrac{3}{100}}\\[1em] = 0.03$

Hence, option 1 is the correct option.