Large, cylindrical bales of hay used to feed livestock in the winter months are \(D=2 \mathrm{~m}\) in diameter and are stored end-to-end in long rows. Microbial energy generation occurs in the hay and can be excessive if the farmer bales the hay in a too-wet condition. Assuming the thermal conductivity of baled hay to be \(k=\) \(0.04 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}\), determine the maximum steady-state hay temperature for dry hay \(\left(\dot{q}=1 \mathrm{~W} / \mathrm{m}^{3}\right)\), moist hay \(\left(\dot{q}=10 \mathrm{~W} / \mathrm{m}^{3}\right)\), and wet hay \(\left(\dot{q}=100 \mathrm{~W} / \mathrm{m}^{3}\right)\). Ambient conditions are \(T_{\infty}=0^{\circ} \mathrm{C}\) and \(h=25 \mathrm{~W} / \mathrm{m}^{2} \cdot \mathrm{K}\).