Making use of the cube root table,

We have:

$1100=11 \times 100$

$\therefore \sqrt[3]{1100}=\sqrt[3]{11 \times 100}=\sqrt[3]{11} \times \sqrt[3]{100}$

By the cube root table, we have:

$\sqrt[3]{11}=2.224$ and $\sqrt[3]{100}=4.642$

$\therefore \sqrt[3]{1100}=\sqrt[3]{11} \times \sqrt[3]{100}=2.224 \times 4.642=10.323(\mathrm{Up}$ to three decimal places)

Thus, the answer is 10.323.