This protocol provides TheraSphere treatment for patients with liver cancer who cannot be treated by surgery. Patients with hepatocellular carcinoma will be evaluated for eligibility for this treatment with the following: physical examination, medical history, blood tests requiring approximately 2 tablespoons of blood, EKG, CT or MR of chest to examine lungs, CT or magnetic resonance (MR) of abdomen to evaluate liver, stomach and intestines, and bone scan to rule out spread of disease to bones. If eligible on initial screening, patients will proceed to a second stage of screening, including an hepatic angiogram to confirm treatment can be provided safely and to highlight the blood vessels supplying the liver, and a nuclear medicine study (Tc-99m MAA scan) to display the blood flow to the lungs, stomach and intestines.