The volume ratio of the inscribed ball to the circumscribed ball of the cube is, pro, to be explained in detail

It looks like 1 / 6 to 2 times root 3, right

RELATED INFORMATIONS

1. If the total area of a cube is 24, then the volume of its circumscribed sphere is______ ．
2. Let the surface area of a cube be 24. What is the volume of its inscribed sphere
3. The surface area of cube with edge length a is equal to___ ; volume equal to___ The radius of its circumscribed ball is___ The volume of its circumscribed sphere is___
4. Let the total area of a cube be 24 and find the volume of its circumscribed sphere
5. If the volume of the circumscribed sphere of a cube is 36 π, the surface area of the cube is 0
6. The volume ratio of the inscribed sphere to the circumscribed sphere of a cube is______ ．
7. The volume ratio of the inscribed sphere to the circumscribed sphere of a cube is______ ．
8. Comparison size: - 1.3 and - root 1.7, 8 / 8 root 10-3 and 1 / 8
9. In solid geometry, if the volume of a triangular pyramid with equal edge length is 2 / 3 of its root sign, the surface area of the pyramid is
10. The volume of a regular pyramid is 2 / 3 of the root sign, and the minimum surface area is obtained
11. What's the volume ratio between the inscribed ball and the circumscribed ball of a cube? I think the radius of the circumscribed ball is two-thirds root
12. If the vertices of a square whose edge length is 2cm are all on a sphere, then the volume of the sphere is
13. The ratio of the volume of a cylinder to the volume of a sphere is 3:2. Then the ratio of the side area of the cylinder to the surface area of the sphere is () A. 1：1B. 1：2C. 2：3D. 3：2
14. What is the volume of a square with a volume of 8 if its vertices are on the sphere?
15. In the triangular pyramid abc-a1b1c1, AB is perpendicular to AC, the projection of vertex A1 on the bottom ABC is exactly point B, and ab = AC = A1B = 2 Find the angle between Aa1 and ABC (2) Determine a point P on edge b1c1 so that AP = 14 under the root sign, and calculate the cosine value of dihedral angle p-ab-a1 Answer 2 under the root sign 5 / 5 Newspapers 20-5
16. In a triangular pyramid a-bcd, the projection of D in plane ABC is e, and the projection of a in plane BCD is f (1) If de intersects AF, verify that ad is perpendicular to BC (2) Is the inverse proposition of (1) Tenable
17. 49. What condition does a triangular pyramid satisfy that the projection of its vertex on the bottom is the perpendicular of the triangle on the bottom?
18. Proof: if the projection from the vertex of a triangular pyramid to the bottom is the perpendicular center of the bottom triangle, then the projection from any vertex of the bottom triangle to the opposite side must also be the perpendicular center of the triangle
19. Using Euler's formula, think about a polyhedron with 10 faces, 30 edges and 20 vertices
20. A polyhedron has 20 vertices and 30 edges. It has () faces. This geometry is ()