Answer
$4\pi\ in$
Work Step by Step
1. The minute hand (radius $r=3\ in$) would rotate an angle of $360^\circ$ or $2\pi$ in one hour.
2. In $40\ min$ or $\frac{2}{3}\ hr$, the angle would be $\theta=\frac{4\pi}{3}$
3. The distance traveled by the tip of the minute hand would be $L=r\theta=4\pi\ in$
