Answer
3400 turns
Work Step by Step
Example 21-13 (page 609) derives the expression for the inductance of an air-filled solenoid.
$$L=\frac{\mu_oN^2A}{\mathcal{l}}$$
$$N=\sqrt{\frac{L\mathcal{l}}{\mu_oA }}$$
$$N=\sqrt{\frac{(0.13H)(0.300m)}{ (4 \pi \times10^{-7}(T \cdot m)/A) \pi(0.029m)^2}}$$
$$=3400 turns$$