A pin fin of uniform, cross-sectional area is fabricated of an aluminum alloy \((k=160 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K})\). The fin diameter is \(D=4 \mathrm{~mm}\), and the fin is exposed to convective conditions characterized by \(h=220 \mathrm{~W} / \mathrm{m}^{2} \cdot \mathrm{K}\). It is reported that the fin efficiency is \(\eta_{f}=0.65\). Determine the fin length \(L\) and the fin effectiveness \(\varepsilon_{f}\). Account for tip convection.