Volume

Let x be th side of the cube and R be the radius of the sphere.

4πR² = 6a²

R/a = (3/2π)^1/2

Volume ratio, sphere/cube = (4πR³ /3)/a³

= (4π/3)R³/a³

= (4π/3)(3/2π)^3/2

= ((4π/3)²)^1/2((3/2π)³)^1/2

= ((4π/3)(4π/3)(3/2π)(3/2π)(3/2π))^1/2

= (6/π)^1/2

Regards,

Team,

TopperLearning.