Answer : The absolute permeability is, 0.111 darcys.
Explanation : Given,
Volumetric constant rate = [tex]0.5cm^3/s[/tex]
Cross section area = [tex]3cm^2[/tex]
Pressure = 2 atm
Viscosity = 1.0 cp
Length of rock = 4 cm
From the Darcy equation  we conclude that,
[tex]\text{Volumetric constant rate}=\frac{(\text{Absolute permeability}\times A\times P)}{\eta \times l}[/tex]
where,
A = cross section area
P = pressure
[tex]\eta[/tex] = viscosity
l = length of rock
Now put all the given values in the above formula, we get:
[tex]0.5cm^3/s=\frac{(\text{Absolute permeability}\times 3cm^2\times 2\text{ atm})}{1.0cp \times 4cm}[/tex]
[tex]\text{Absolute permeability}=0.111\text{ darcys}[/tex]
Therefore, the absolute permeability is, 0.111 darcys.