Determine the ratio of the volume of a cube to that of a sphere which will exactly fit inside the cube.
- All Questions
6 : π
Step by Step Explanation:
- Let the radius of the sphere which fits exactly into a cube be r units.
Then, length of each of edge of the cube = 2r units.
- Let V1 and V2 be the volumes of the cube and sphere respectively.
V1 = (2r)3 and V2= πr2
- Therefore, = = =
- Thus, V1 : V2= 6 : π