The ratio of the volumes of a cube to that of the sphere which will fit inside the cube is________?

Related Mcqs:

1. The radius of a circular cylinder is the same as that of a sphere. Their volumes are equal. The height of the cylinder is________?

   A. 4/3 times its radius
   B. 2/3 times its radius
   C. Equal to it’s radius
   D. Equal to it’s diameter

2. A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?

   A. 2 : 1
   B. 3 : 2
   C. 25 : 18
   D. 27 : 20

3. The edge of three cubes of metal is 3 dm, 4 dm and 5 dm. They are melted and formed into a single cube. Find the edge of the new cube?

   A. 3 dm
   B. 4 dm
   C. 5 dm
   D. 6 dm

4. The edges of three iron cubes are 6cm; 8cm; 10cm respectively. A new cube was made by melting them. Find the edge of the new cube?

   A. 8 cm
   B. 12 cm
   C. 14 cm
   D. 10 cm

5. Three cubes of metal whose edges are 9, 12 and 15 cm respectively, are melted and one new cube is made. Find the edge of the new cube?

   A. 21 cm
   B. 19 cm
   C. 32 cm
   D. 18 cm

6. If the sides of a cube are in the ratio 4:3. What is the ratio of their diagonals?

   A. 4:3
   B. 16:9
   C. 64:27
   D. 3:4

7. The sides of a cube are in the ratio 1:2 the ratio of their volume is__________?

   A. 1:2
   B. 1:4
   C. 1:8
   D. 2:1

8. The volumes of two cubes are in the ratio 27: 125, what shall be the ratio of their surface areas?

   A. 6:25
   B. 3:5
   C. 9:25
   D. 16:25

9. The ratio between the radii of two spheres is 1:3. Find the ratio between their volumes?

   A. 27:1
   B. 1:27
   C. 1:9
   D. 9:1

10. The diameters of two spheres are in the ratio 1:2 what is the ratio of their volumes?

    A. 3:4
    B. 9:16
    C. 1:8
    D. 4:3