We have investigated the specific heat of liquid 3 He confined to an Ag sinter with an average pore size of about 1000 Å in the temperature range 1 mKрTр20 mK and at pressures 4.8 barр pр34.0 bar. The specific heat of normal-fluid 3 He in the sinter pores shows the linear temperature dependence expected for a Fermi liquid. However, the effective mass of the 3 He quasiparticles is clearly enhanced in the restricted geometry compared to data obtained in bulk 3 He. In addition, there is a temperature-independent contribution to the specific heat, the origin of which can be interpreted as the specific heat of the second layer of 3 He on the Ag surface. Moreover, compared with the results obtained for bulk 3 He, we observe a much broader maximum in the specific heat in the vicinity of the superfluid transition; this maximum occurs about 0.4 mK below the bulk superfluid transition temperature. Furthermore, in the confinement of the sinter only a part of the 3 He in the sinter ͑about 60%͒ becomes superfluid. In contrast to the results obtained with pure 3 He the specific heat of a liquid 3 He-4 He mixture ͑1% 3 He͒ in the Ag sinter shows no deviation from bulk data.