Problem $03\mathrm{.}127-$ Infinitely long vs adiabatic tip fins

A $4-$mm$-$diameter and $0\mathrm{.}092-$m$-$long aluminum fin $(k=237\frac{W}{m}*K)$ is attached to a surface. If the heat transfer coefficient is $12\frac{W}{m^2}*K,$ determine the percent error in the rate of heat transfer from the fin when the infinitely long fin assumption is used instead of the adiabatic fin tip assumption.

The percentage error is $\%.$