Because of fast growing medical radiation use, estimating possible late health effects of radiation, including potential cancer risk, is an issue of substantial interest. Since physicians make the decision to order or perform a radiological procedure, it is very important to provide them with objective information about possible radiation-associated risks. Methodology for estimating cancer risks based on recommendations of ICRP Publication 103 is presented in the paper. Organ doses, age, and gender are used as basic parameters. An example of the evaluation of radiation-associated risks from computed tomography examination is presented.