Question

19. If the diameter of a sphere is equal to the side of a cube, find the ratio of
their volumes​

Answer 1

Step-by-step explanation:

The ratio of volume of sphere to volume of cube is ": 1".

Step-by-step explanation:

Let diameter of the sphere = d = side of the cube

∴ Radius of the sphere(r) =

Volume of sphere =

=

=

And,

Volume of the cube =

∴ The ratio of volume of sphere to volume of cube

= :  

= [tex]\dfrac{\pi }{6} : 1

Hence, the ratio of volume of sphere to volume of cube is [tex]\dfrac{\pi }{6} : 1.