CBSE Class 10 Answered
Volume
Asked by Abhijeetoo7 | 10 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 | 10 Feb, 2010, 10:24: AM
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