Answer
${\bf 9.5\times 10^{-5}}\;\rm J$
Work Step by Step
We know that this energy depends on the inductance and the current.
So the energy stored in the solenoid is given by
$$U_{\rm L}=\frac{1}{2}LI^2\tag 1$$
The inductance of the solenoid is given by
$$L=\dfrac{\mu_0N^2 A}{l}$$
Plug into (1),
$$U_{\rm L}=\frac{1}{2}\left[ \dfrac{\mu_0N^2 A}{l}\right]I^2 $$
$$U_{\rm L}=\frac{1}{2}\left[ \dfrac{\mu_0N^2 \pi r^2 }{l}\right]I^2 $$
Plug the known;
$$U_{\rm L}=\frac{1}{2}\left[\pi \dfrac{(4\pi \times 10^{-7})(200)^2 (1.5\times 10^{-2})^2}{(0.12)}\right](0.80)^2 $$
$$U_{\rm L}=\color{red}{\bf 9.5\times 10^{-5}}\;\rm J$$