Plug in the dimensions to the formula given using a handy dandy calculator for both problems.
1. The diameter of the bottom of the cone is 4 so the radius (half that) is 2. Volume = 1/3 * pi * (2)² * 6 = 1/3 * pi * 4 * 6 = 1/3 * pi * 24 = 8 * pi ≈ 25.1327 cm³
2. They give you all you need, the radius. Volume = 4/3 * pi * (6)³ = 4/3 * pi * 216 = 288 * pi ≈ 904.7787 in³