Sphere with diameter 1 unit is enclosed in a cube of side 1 unit each. find the unoccupied volume remaining inside the cube.

The volume of the sphere is given by:

V1 = (4/3) * (pi) * (r ^ 3)

Where,

r: sphere radio

Substituting values:

V1 = (4/3) * (3.14) * ((1/2) ^ 3)

V1 = 0.523 units ^ 3

The volume of the cube is given by:

V2 = L ^ 3

Where,

L: length of the sides

Substituting values:

V2 = 1 ^ 3

V2 = 1 units ^ 3

The unoccupied space is:

V2-V1 = 1-0.523

V2-V1 = 0.477 units ^ 3

Answer:

The unoccupied volume remaining inside the cube is:

0.477 units ^ 3