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Recently it has been shown that reverberation chambers can be used to measure radiation efficiency and input impedance of small antennas. In particular, the it can be used to measure these characteristics for small antennas located close to lossy objects, such as a mobile phone antenna located in different positions relative to a head phantom filled with a brain tissue equivalent liquid. The present paper presents calculated and measured results for a lossy cylinder. The cylinder is filled with a brain tissue equivalent liquid of the type used in head phantoms when measuring specific absorption rate (SAR). We get the mean absorption cross section of the cylinder from measured average power levels in the reverberation chamber by using Hill's formulas, and these are compared with the computed results.