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if a sphere and cube has a same volume, then the ratio of the surface of the sphere to that of the cube is |
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Answer» Step-by-step explanation: Let the radius of sphere is r and side of cube is x Then volume of sphere= 3 4
πr 3
And volume of cube=x 3
x 3 = 3 4
πr 3 ⇒x= 3
3 4
π
×r ⇒ x r
= 3
4π 3
Then SURFACE area of sphere =4πr
And surface area of cube =6x 2
Then ratio of sphere to the cube = 6x 2
4πr 2
= 3 2π
( x r
) 2
= 3 2π
( 3
4π 3
) 2
= 3
6
3
π
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