Question

If a sphere occupies maximum space of a cube ,then ratio of the volume of the space and cube is​

Answer 1

Answer:

The ratio of volumes= 11:21

Step-by-step explanation:

If a sphere occupies maximum space of a cube, it's diameter must be equal to the edge of cube

vol. of sphere=(4/3)πr³

= (88)/21 (a/2)³ (d=a, r=a/2)

= 11a³/21

vol. of cube= a³

ratio of volumes=(11a³/21)÷a³

=11/21