Answer
$95.3KPa$
Work Step by Step
We know that
$A=\pi(\frac{d}{2})^2$
$A=\pi(\frac{0.0139}{2})^2=1.517\times 10^{-4}m^2$
We can find the required pressure as
$P=\frac{F}{A}$
We plug in the known values to obtain:
$P=\frac{3.25lb}{1.517\times 10^{-4}}(\frac{1N}{0.225lb)}=95.3KPa$