It would be easier if we split the composite solid into a rectangular prism and a half of a cylinder.
The volume of the prism is easy: length * width * height: 35 * 9 * 42 = 13230 cm cubed.
The half of the cylinder is just: (pi * r^2 * h)/2
The diameter is 9, so the radius is 4.5. The height is 42. So:
(pi * 4.5^2 * 42)/2 is about 1335.96
1335.96 + 13230 = 14565.96 or, rounding up, 14566 cm cubed.