Answer:
Step-by-step explanation:
Volume of a cube = (side)³
= (20)³
= 8000 cubic in.
Volume of the sphere which just fits in = [tex]\frac{4}{3}\pi r^{3}[/tex]
Here, r = Radius of the sphere
Since, sphere just fits in, radius of the sphere = half of the dimension of the cube
r = [tex]\frac{20}{2}[/tex]
r = 10 in
Therefore, volume of the sphere = [tex]\frac{4}{3}\pi (10)^3[/tex]
= 4188.79 cubic inch
Volume of the space between the cube and sphere = 8000 - 4188.79
= 3811.21 cubic inch
