A hollow cylindrical shell made of a material with very high magnetic permeability \(\mu \gg \mu_0\) is placed in a region with an initially uniform external magnetic field \(B_0\). A detector measures the magnetic field magnitude \(B_{\text{inside}}\) at the center of the hollow region inside the shell. Which of the following correctly compares \(B_{\text{inside}}\) to \(B_0\) and provides the correct physical justification?