Answers

2014-03-08T12:33:18+05:30
Surface area of the sphere 4πr² 
Surface area of the cube: 6x²

So according to the equation we get : 

= 4πr² = 6x² 
=> r²/x² = 6 / 4π 
=> (r/x)² = 3 / 2π 
=> r/x = (3 / 2π)^0.5

We know the volume of a sphere is 4/3 πr³ and Volume of a cube is: x³ 

we have to find the ratio so we can do : 
(4/3 πr³)/x³ 

=> (4π/3)(r³/x³) 
=> (4π/3)(r/x)³ 
=> (4π/3)(3 / 2π)^1.5 
=> (2²π/3)[3^1.5 / (2^1.5)(π^1.5)] 
=> √2√3 / √π 
=> √(6/π) 
(equal) 1.38 
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