Volume

Asked by Abhijeetoo7 | 10th Feb, 2010, 10:10: AM

Expert Answer:

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.

Answered by  | 10th Feb, 2010, 10:24: AM

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