The volume of the cut ball in the rhombic dodecahedron can be obtained by mathematical calculation. The rhombic dodecahedron is a special solid geometry, which consists of 12 equal rhombic faces. The inscribed spherical surface means that the spherical surface is tangent to each surface of the polyhedron.

First, we need to know the side length of the rhombic dodecahedron. Let the side length of the rhombic dodecahedron be a, and according to the geometric properties, the radius r of its inscribed spherical surface satisfies the following relationship: the diagonal length of the rhombic dodecahedron is 2r.

Through mathematical calculation, the radius r of the inscribed sphere can be obtained as: r=a/(2√3).

Then, you can use the sphere volume formula to calculate the volume of the inscribed sphere V: v = (4/3) π r?

By substituting the value of r, the volume of the tangent ball in the rhombic dodecahedron can be calculated.

The rhombic dodecahedron is a solid geometry composed of 12 rhombic faces, and the side length of each rhombic face is equal. It has the following characteristics:

1, side length: the side length of each rhombic surface of a rhombic dodecahedron, etc.

2. Number of faces: the rhombic dodecahedron consists of 12 rhombic faces.

3. Symmetry: rhombic dodecahedron has regular tetrahedral symmetry and rhombic symmetry.

4. Diagonal line of * * * faces: any two adjacent rhombic faces * * * share a diagonal line.

5. Volume: The volume of rhombic dodecahedron can be determined by different calculation methods, and the most common method is to use its side length.

The following are the volume calculation methods of some common geometric figures.

1, cube: the volume of a cube is equal to a cube with sides, that is, V=a? , where v stands for volume and a stands for side length.

2. Cube: The volume of a cube is equal to the product of three sides, that is, V=l×w×h, where V stands for volume, and L, W and H stand for length, width and height respectively.

3. Sphere: The volume of a sphere is equal to 3/4 times π and then multiplied by the cube of radius, that is, V=(4/3)πr? , where v stands for volume and r stands for radius.