What is the implied volume for a universe where the density parameter $\Omega$ is greater than 1?

Finite

When the density parameter $\Omega$ is greater than 1, it signifies that the universe contains more mass and energy than the critical density required for flatness. This excess density results in a universe dominated by gravitational effects strong enough to curve space back upon itself, resulting in positive curvature, which is similar to the surface of a sphere. A defining feature of any space with positive curvature is that it must possess a finite volume. This means that if travel were possible without obstacles over immense distances, an observer following a straight path would eventually loop back to their origin point. This finite nature is a direct consequence of gravity overcoming the initial outward momentum of the Big Bang, causing space to close in on itself.