We observe a correlation between the slope of radio lateral distributions, and the mean muon pseudorapidity of 59 individual cosmic-ray-air-shower events. The radio lateral distributions are measured with LOPES, a digital radio interferometer co-located with the multi-detector-air-shower array KASCADE-Grande, which includes a muon-tracking detector. The result proves experimentally that radio measurements are sensitive to the longitudinal development of cosmic-ray air-showers. This is one of the main prerequisites for using radio arrays for ultra-high-energy particle physics and astrophysics.The investigation of ultra-high-energy cosmic rays works at the frontiers of particle physics as well as astrophysics. Only cosmic rays allow probing particle physics beyond the energy range of man-made accelerators. And only high statistics and accurate measurements of energy, direction and mass of cosmic rays will solve the mystery of their origin, i.e. how natural accelerators achieve energies beyond 10 20 eV (see references [1, 2] for reviews). Since ultra-high-energy cosmic rays are too rare to be measured directly, they can only be measured indirectly by observing extensive air-showers of secondary particles. In particular, the longitudinal development of the airshowers is of interest for the two main physics goals: for particle physics, since the shower development depends on the interactions at ultra-high energies, and for astro- *