MathematicsA sphere is melted and half of the molten liquid is used to form 11 identical cubes, whereas the remaining half is used to form 7 identical small spheres. The ratio of the side of the cube to the radius of the new small sphere is:1

A sphere is melted and half of the molten liquid is used to form 11 identical cubes, whereas the remaining half is used to form 7 identical small spheres. The ratio of the side of the cube to the radius of the new small sphere is:
1

A
(3)1
B
(3)
C
(3)3
D
2

Solution:

Given that:
Half of the molten liquid is used to form 11 identical cubes, whereas the remaining half is used to form 7 identical small spheres
∴ Volume of 11 small cubes = volume of 7 small spheres