Statement I: Correct. The contact angle between a solid and a liquid is determined by the cohesive and adhesive forces inherent to the materials.
Statement II: Incorrect. The height of liquid rise in a capillary tube is governed by the formula: \[ h = \frac{2T \cos \theta}{\rho g r}, \] where T represents surface tension, θ is the contact angle, ρ is liquid density, g is gravitational acceleration, and r is the capillary tube's radius. The equation demonstrates that h is inversely proportional to r, thus the rise is dependent on the inner radius.
Therefore, option (3) is valid.