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A surface area of a sphere has three times the surface area of a cube. Then, the ratio of the volume of sphere to that of the cube is 

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A surface area of a sphere has three times the surface area of a cube. Then, the ratio of the volume of sphere to that of the cube is 


1). 9 : √π
2). 18 : √π
3). 9 : √2π
4). 18 : √2π


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Answered by on | Votes 1 |

Surface area of sphere = 4πr2

Surface area of cube = 6a2 where a is side of cube

4πr2 = 3 × 6a2

(r/a) = (9/2π)1/2

Ratio of volumes = (4/3 πr3)/a3 = 18 : √2π

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