Answer
$0.534\,g/cm^{3}$
Work Step by Step
We find:
Radius $r= \frac{d}{2}=\frac{2.40\,mm}{2}=1.20\,mm$
$=1.20\,mm\times\frac{1\,cm}{10\,mm}=0.120\,cm$
$V= \pi r^{2}h=\pi(0.120\,cm)^{2}\times15.0\,cm$
$=0.678584\,cm^{3}$
$\text{Density}=\frac{\text{mass}}{\text{volume}}=\frac{0.3624\,g}{0.678584\,cm^{3}}$
$=0.534\,g/cm^{3}$