Answer
The heart must produce a gauge pressure of $35,300~Pa$
Work Step by Step
We can calculate the required gauge pressure:
$P_g = \rho~gh$
$P_g = (1060~kg/m^3)(9.80~m/s^2)(3.4~m)$
$P_g = 35,300~Pa$
The heart must produce a gauge pressure of $35,300~Pa$.